A factory produces four products, D, C, B, A, using two machines Mand M. The time taken and the cost of producing one unit on each of the two machines and the available time to operate for each machine and the selling price per unit for each product are shown in the table below: machines Time per unit ( hours/unit)| Cost Availability hours A B D (I.D./hour) M1 M2 Sales price (1.D./unit) 3 4 10 500 3 2 2 15 380 65 70 55 45 Note that the total cost of producing one unit depends directly on the operating time of the machine. It is required to formulate a mathematical model for the linear programming of the above problem to achieve: a) The lowest total cost. And b) the highest total net profit.
Q: Bright Furnitures produces chairs and tables that go through M1 and M2. Making a 1 table and 1 chair…
A: The question is related to Linear Programming.The given problem is of Maximization. The details…
Q: A product can be produced on four different machines. Each machine has a fixed setup cost, variable…
A: Binary linear programming (BIP) is a part of linear programming. BIP restricts the decision…
Q: 4) The making of rivet holes in structural steel members can be done by 2 methods. The first method…
A: Given Information: Method 1: Using Drill Press Cost of a drill press = P 100K Machinist wage per…
Q: A brewery produces regular beer and a lower-carbohydrate Tight beer. Steady customers of the brewery…
A: R = units of regular beer L= units of light beer Minimize C = 32000 R + 60000 L…
Q: A company needs to locate three departments (I, II, and III) in the three areas (A, B, and C) of a…
A: Transportation is a cost of an association. Transportation alludes to the circulation of merchandise…
Q: What is meant by parametric linear programming
A: Linear programming technique that is used to maximize profit while minimizing cost. For cost…
Q: Primer Inc. offers plumbing and air conditioning services to customers in Brooklyn, NY. The…
A: Primer Inc. offers plumbing and air conditioning services to customers in Brooklyn, NY. The…
Q: A manufacturer employs three inputs: man-hours, machine-hours and cloth material to manufacture two…
A: THE ANSWER IS AS BELOW:
Q: Primer Inc. offers plumbing and air conditioning services to customers in Brooklyn, NY. The…
A: Answer g. Effective supply chain management enables companies to improve product flow through…
Q: 4 Goldilocks needs to find at least 12 lb of gold and at least 18 lb of silver to pay the monthly…
A: Let ‘x’ be time spent on Mine 1. Let ‘y be time spent on Mine 2.
Q: Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she…
A: As mentioned in the question, the decision variables will be x1 and x2. x1 = Units of condominium…
Q: A manufacturing firm has four plants and wants to find the most efficient means of meeting the…
A: Given data is
Q: A company produces a product at two plants, 1 and 2. The unit production cost and production…
A: Given information, Production Cost Unit Capacity Plant 1(period 1) 33 7 Plant 1(period 2)…
Q: Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she…
A: A mixed integer programming model is as follows Let C= Number of units of condominiums…
Q: Toshovo Computer owns four production plants that produce computer workstations. The company can…
A: Let, P1, P2, P3, and P4 and the variables related to the plant operations. If the values of P1, P2,…
Q: The production manager for the Coory soft drink company is considering the production of two kinds…
A: R = Number of Regular cases D = Number of Diet cases Here, the objective is to maximize the profit.…
Q: Travel Co. specializes in trans-American moves for businesses and individuals through the shipment…
A: Break even point Fixed cost = $5000 Variable cost = $0.40/pound Revenue = $0.68/pound
Q: A furniture company manufactures desks and chairs. The sawing department cuts the lumber for both…
A: Let us consider the maximum profit, Z is possible when the quantity of chair is “X” and quantity of…
Q: Shivani founded a company that specializes in hànd-crafted wooden fürniture. She is planning to…
A: Decision Variable: Suppose-T be the no. of the dining tables to be producedC be the no. of the…
Q: The Star Company uses the step method for allocating the costs of its service departments to…
A: Following is the allocation of Service cost to production departments
Q: The Ace Manufacturing Company has orders for three similar products. Orders Product (units) A 2,200…
A: Product Unit order A 2200 B 300 C 1100
Q: Primer Inc. offers plumbing and air conditioning services to customers in Brooklyn, NY. The…
A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: A machine part to be fabricated may be made from alloy of either of two metals. There is an order…
A: Therefore, the total cost is P13,300 for Metal A and P8,950 for Metal B.
Q: A university is made up of five colleges: Arts and Sciences, Engineering, Business, Education, and…
A:
Q: each Distributors packages and distributes industrial supplies. A standard shipment can be packaged…
A: Let x1 be number of Containers of A, x2 be number of containers of K and x3 be number of containers…
Q: Machinco produces four products, requiring time ontwo machines and two types (skilled and unskilled)…
A: LP model Let Xi be the quantity of product i to be produced Max (300-8*8-7*6)X1 + (260-5*8-8*6)X2 +…
Q: A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,…
A: In the question, for each case, we would first formulate the LP, then, we would solve this LP with…
Q: 15. Hyatt Company makes two products, X and Y. Their contribution margins are P 50 and P 90,…
A: Given Information:
Q: 2. A computed utility function for a travel in a medium-sized city by automobile, bus and light rail…
A: Given:- U = a - 0.002X - 0.05Y Where, X = Cost of travel (php) Y = Travel Time (minutes)…
Q: Please develop a linear programming model for the problem. b. Find the optimal solution via Excel.…
A: Let x and y be the time allocated to regular customers and new customers respectively. Objective…
Q: A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various…
A: Total calories per day = 2000 Each gram of fat has 9 calories. As 1 serving of walnut has 20g of…
Q: A catering company must have the following number of clean napkins available at the beginning of…
A: Given, Minimum Cost = 6.66 Day 1: 15 Buy Day 2: 3 Buy, 9 Fast Service Day 3: 12 Fast Service, 6 Slow…
Q: Primer Inc. offers plumbing and air conditioning services to customers in Brooklyn, NY. The…
A: "Since you have posted questions with multiple sub-parts, we will solve the first three sub-parts…
Q: A catering company must have the following number of clean napkins available at the beginning of…
A: The catering company requires clean napkins on day 1, day 2, day 3, and day 4. In order to have…
Q: A company produces three products A,B, and C. The products are processed through three machines as…
A: Number of hours available per year = 250x7 = 1750 Hours We assume that the time given is in minutes…
Q: Green Vehicle Inc. manufactures electric cars and small delivery trucks. It has just opened a new…
A: Given data, To paint a truck of T1 = 1/40 day in the paint shop To paint a car of type C1 = 1/60…
Q: Arthur and Son P.A. is an auditing firm that conducts both financial and operational audits. Arthur…
A: Profit from each FA has averaged = $720 Profit from each OA has averaged = $650 Handling capacity =…
Q: A plant has sufficient capacity to manufacture any combination of four different products (A, B, C,…
A: GIVEN,
Q: Dalton Desk makes two different types children's desks: a regular model (R) and a deluxe model (D)…
A: R be the number of Regular model. D be the number of Deluxe model.
Q: Jeff Kaufmann's machine shop sells a variety of machines for job shops. A customer wants to purchase…
A: The decision tree is a visual representation of decision-making alternatives. The square node…
Q: Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she…
A: Let, A = No. of condominiums purchased B = No. of acres of land purchased
Q: A manufacturing firm closed down the production of a certain unprofitable product line. This…
A: Decision variables: Let ; Number of units of A to be produced=x1 Number of units of B to be…
Q: Failsafe Electronics Corporation primarily manufactures four highly tochnical products, which it…
A: Let the number of XJ201 be J, XM897 be M, TR29 be T, BR788 be B. Total profit = 9J + 12M + 15T + 11B…
Q: ProHaul specializes in trans-American shipments for businesses through the delivery of containers.…
A: Calculating the value of sales price per unit to making the profit of $ 5,000. We have,The formula…
Q: In the design of a jet engine part, the designer has a choice of specifying 10 either an aluminum…
A: Given data is Weight of aluminum casting = 1.2 kg Weight of steel casting = 1.35 kg Cost of aluminum…
Q: Brady Corporation produces cabinets. Each week, itrequires 90,000 cu ft of processed lumber. The…
A: Let ‘a’ be the number of cubic feet of grade 1 lumber by purchasing. Let ‘b’ be the number of cubic…
Q: Nicholas is the facilities manager for Green Market Groceries. The store is remodeling and wants to…
A: Find the Given details below: Given Details: Alaskan Seal BRR Frost Cold Case Deep Freeze…
Q: 1. A manufacturer produces three different devices (device A, B and C) at two manufacturing…
A: Let M and E represent days at Monroe and Euclid plant respectively.
Q: A catering company must have the following number of clean napkins available at the beginning of…
A: Minimum Cost = 6.66 Day 1: 15 Buy Day 2: 3 Buy, 9 Fast Service Day 3: 12 Fast Service, 6 Slow…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Given the following for a retail property: This property is occupied by a single tenant: Net Rentable Space 10,000 sq. ft. Lease Rate $18.00 per sq. ft. per year Real Estate Taxes $ 1.75 per sq. ft. per year Operating Expenses $ 0.55 per sq. ft. per year Insurance $ 0.06 per sq. Ii. per year Actual Gross Sales $2,200,000 Base Sales as per Lease $2,000,000 Percentage Lease Clause 4.0% What is the amount of rent due on a per sq. ft. basis (per year) ifthe tenant has a "net net"_ (NN)Jease and a "percentage lease clause" in the lease? Please provide proper keystrokes for the BAii Plus and Gualifier Plus IIIfx calculators. Thank you!The number of hybrid cars that have be requested for rental from a car rental office during a 50 day sample period is given in the following table. Demand for Cars Number of Days Probability 3 3 0.06 4 7 0.14 5 12 0.24 6 14 0.28 7 10 0.20 8 4 0.08 50 1.00What is the expected (mean) number of hybrid rentals per day? Compute to one decimal place.
- A company makes two products (A and B). Each product requires time on two machines 1 and 2. the specifications for each product are as follows Product A Product B Processing time on machine 1 (hrs/unit) Processing time on machine 2 (hrs/unit) Material and labor cost (Sh./ unit) Selling price (Sh./ unit) Maximum possible sale (units) 2 1 2 14 15 16 18 130 150 The amount of time available on machine 1 is 360 hrs and on machine 2 is 260 hrs. Using simplex method determine the number of product A and B, which should be sold in order to maximize total contribution for the company.Harold Grey owns a small farm in the Salinas Valley that grows apricots. The apricots are dried on the premises and sold to a number of large supermarket chains.Based on past experience and committed contracts, he estimates that sales over thenext five years in thousands of packages will be as follows:Forecasted DemandYear (thousands of packages)1 3002 1203 2004 1105 135Assume that each worker stays on the job for at least one year, and that Greycurrently has three workers on the payroll. He estimates that he will have 20,000packages on hand at the end of the current year. Assume that, on the average, eachworker is paid $25,000 per year and is responsible for producing 30,000 packages. Inventory costs have been estimated to be 4 cents per package per year, andshortages are not allowed.Based on the effort of interviewing and training new workers, Farmer Greyestimates that it costs $500 for each worker hired. Severance pay amounts to$1,000 per worker.a. Assuming that shortages are not…1) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes, Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C₁=40 TL/Hour, cost of a machine is C₂-200 TL/Hour. What is the cost per unit of production if optimum number of machines is assigned to the operator? (Note: Times are given in minutes and costs are per hour) a) 231 TL/unit b) 6930 TL/unit c) 115.5 TL/unit d) 240 TL/unit e) 132 TL/unit 2) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes; Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C1=40 TL/Hour; cost of a machine is C₂=200 TL/Hour. How many machines (integer number) should be assigned to the operator so that the total operator and machine costs…
- a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?A company makes two products (1 and 2). Each product requires time on two machines A and B. The specifications for each product are as follows; Product 1 Product 2 Processing time on machine A (hrs/unit) 2 2 Processing time on machine B (hrs/unit) 1 2 Material and labor cost (Sh./unit) 14 15 Selling price (Sh./unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total…Pendryl Office Supplies is evaluating the profitability of leasing a photocopier for its customers to use on a self serve basis at 10 cents/copy. The copier may be leased for $300 per month plus 1.5 cents per copy on a full service contract. Pendryl can purchase paper at $5 per 500 sheet ream. Toner costs $100 per bottle, which in normal use will last for 5000 pages. Pendryl thinks that there are additional other costs of 0.5 cents per copy. A. How many copies per month must be sold in order to break even? (6000 copies/month) B. What will be the increase in monthly profit for each 1000 copies sold above the break-even point? ($50 per month)
- The cost infomation of an old process unit that has a capacity of 5,400 ft'/hr and a total cost of $8,500,000 is used to find the cost of a new unit that has a capacity of 8,500 t'hr. Assuming the total cost of the new unit is $12,000,000 you are required to state: 1. The method and equation that you will use to find that cost, 2. The value of the corresponding factor, 3. Is the value calculated in (2) within the accepted range?l AT&T ? C 2:01 PM ... mple Practice Math Flov Sample 1 You have an upstream Picking department that feeds two downstream packing departments: A and B. 75% of your Pick volume goes to department A, which has a packing rate of 150 units per labor hour (uph). 25% of the Pick volume goes to department B, which is for large items, and has a pack rate of 25 units per labor hour. Your pickers pick both large and small items throughout the day at an overall average rate of 100 units per labor hour. You have 25 people today for all 3 departments, and you absolutely must pack 7,500 units in department A to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer Department % of Rate Реople Daily volume| (uph) volume Pick 100% 100 Pick A 75% 150 ? 7,500 Pick B 25% 25 ?.A team of 10 unloaders is employed in good reception bay of a large warehouse. During an 8 hour day 40 lorries arrive and it takes the team 10 minutes to unload each lorry. Each team member is paid RM3 per hour and it costs RM10 per hour to keep lorries waiting. Studies show that increasing the team to 14 men would reduce the unloading time to 7 minutes. Would it be worthwhile increasing the team to 14?