4 Goldilocks needs to find at least 12 lb of gold and at least 18 lb of silver to pay the monthly rent. There are two mines in which Goldilocks can find gold and silver. Each day that Goldilocks spends in mine 1, she finds 2 lb of gold and 2 lb of silver. Each day that Goldilocks spends in mine 2, she finds 1 lb of gold and 3 lb of silver. Formulate an LP to help Goldilocks meet her requirements while spending as little time as possible in the mines. Graphically solve the LP.
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- 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?(d) The company only has 4 workstations available. If it only operates its 4stations, how many weeks does it need to meet the production requirements?(e) The company has other contracts it needs to satisfy. Working on themugs more than 4 weeks means it will have to cancel another contract,incurring a penalty of $4,500. Each new workstation costs the company$2,500. What should the company do: cancel the contract or buy therequired workstations?An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. If more than 40 show up for the flight , then the extra passengers will be compensated PhP10,000 for rebooking and other expenses. 5. If Profit = Ticket sales-Compensation of Bumped passenger(s). What is the profit if 42 customers show up?
- Old Pueblo Engineering Contractors creates six-month “rolling” schedules, which are recomputed monthly. For competitive reasons (it would need to divulge proprietary design criteria, methods, and so on), Old Pueblo does not subcontract. Therefore, its only options to meet customer requirements are (1) work on regular time; (2) work on overtime, which is limited to 30 percent of regular time; (3) do customers’ work early, which would costan additional $5 per hour per month; and (4) perform customers’ work late, which would cost an additional $10 per hour per month penalty, as provided by their contract. Old Pueblo has 25 engineers on its staff at an hourly rate of $30. The overtime rate is $45. Customers’ hourly requirements for the six months from January to June are January 5000 February 4000 March 6000 April 6000 May 5000 June 4000 Develop an aggregate plan using a spreadsheet. Assume 20 working days in each month. 12. Alan Industries is expanding its product line to include three…You are the owner of DDD Company. The company is engaged in providing services to telecommunication companies. It has a multi-million sales. However, on an average collection cycle, you only collect the sales after 6 months. Upon reviewing the company's financial statements, you notice a large number of receivables and a large number of payables. The company is having a hard time paying its debts since it cannot collect promptly the receivables. The sales manager told you that the company cannot stop accepting projects because there are many competitors in the market. On the other hand, the collection manager suggested collecting first the receivables before accepting a new project. If you are the owner of DDD Company, what should you do? Give three reaons and explain why1. Foxie Owl’s Besty Bagel shop makes fresh bagels. She has to buy raw materials fresh every day for selling on that day. She wants to know exactly how much should she spend on raw materials. Foxie did some analysis over the past month and came back with the following numbers: Daily demand was equally likely to be 200, 225, 250, 275, or 300 bagels. What should be the number of bagels on hand to satisfy a Fill Rate requirement of 96%, rounded to next integer value? Group of answer choices 300 275 286 263 2. Suppose that instead of a discrete demand distribution, Foxie’s shop determines that the daily demand for bagels is normally distributed, with a mean of 250 and a standard deviation of 35. Foxie still wants a Fill Rate of 98%. What is the appropriate level of on-hand inventory for Foxie’s shop? Group of answer choices 263 274 257 270
- 3-4) How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z? A) 28.73 B) 39.27 C) 0 D) 1E + 30 3-5) What is the increase in revenue if Taco Loco purchases 20 pounds of cheese for $1 and uses it optimally? A) $0 B) $9.09 C) $29.00 D) $158.18Colleen Company has gathered the following data pertaining to activities it performed for two of its major customers. Jerry, Inc. Kate Co. Number of orders 6 30 Units per order 1,000 420 Sales returns: Number of returns 4 5 Total units returned 50 140 Number of sales calls 13 5 Colleen sells its products at $290 per unit. The firm’s gross margin ratio is 20%. Both Jerry and Kate pay their accounts promptly and no accounts receivable is over 30 days. After using business analytics software to carefully analyze the operating data for the past 30 months, the firm has determined the following activity costs: Activity Cost Driver and Rate Sales calls $ 800 per visit Order processing 180 per order Deliveries 410 per order Sales returns 270 per return and $3 per unit returned Sales salary 107,000 per month Required: 1. Using customers as the cost objects, classify the activity costs…for this table. In other words, the table of data provided does not need a composite primary key. Table 1. Parking Tickets STID LName, FName PhoneNo St Lic LicNo Ticketno Date Code Fine 38249 Brown, Thomas 111-7804 FL BRY 123 15634 09/17/17 2 $25 38249 Brown, Thomas 111-7804 FL BRY 123 16017 09/13/17 1 $15 82453 Green, Sally 391-1689 AL TRE 141 14987 09/05/17 3 $100 82453 Green, Sally 82453 391-1689 AL TRE 141 Green, Sally 391-1689 AL TRE-141 16293 17892 09/18/17 1 $15 09/13/17 2 $25 Please examine the table of data and perform the following tasks: 1. Depict the full key, partial and transitive functional dependencies in the data table using the written notation (e.g., ID →Name, Address);
- Adele Weiss manages the campus flower shop. Flowers must be ordered three days in advance from her supplier in Mexico. Although Valentine’s Day is fast approaching, sales are almost entirely last-minute, impulse purchases. Advance sales are so small that Weiss has no way to estimate the probability of low (25 dozen), medium (60 dozen), or high (130 dozen) demand for red roses on the big day. She buys roses for $15 per dozen and sells them for $40 per dozen. Construct a payoff table. Which decision is indicated by each of the following decision criteria?a. Maximinb. Maximaxc. Laplaced. Minimax regretCollege Creations, Inc (CC), builds a loft that is easily adaptable to most dorm rooms or apartments and can be assembled into a variety of configurations. Each loft is sold for $500, and the cost to produce one loft is $300, including all parts and labor. CC has fixed costs of $100,000. A.What happens if CC produces nothing? B.Now, assume CC produces and sells one unit (loft). What are their financial results? C.Now, what do you think would happen if they produced and sold 501 units? D.How many units would CC need to sell in order to break even? E.How many units would CC need to sell if they wanted to have a pretax profit of $50,000?The check book balance of Ccc Company on December 31,2020 was P4,000,000. Data about certain cash items follow. • A customer amounting to P200,000 dated January 2,2021 was not included in the December 31,2020 checkbook balance. • Another customer check for P500,000 deposited on December 22,2020 was included in its checkbook balance but returned by the bank for insufficiency of fund. The check was deposited on January 5, 2021 and cleared two days. + A P400,000 check payable to supplier dated and recorded on December 30,2020 was mailed on January 16,2021. * A petty cash fund of P50,000 with the following summary on December 31,2020: Coins and Currencies 5,000 Petty cash vouchers 43,000 Return value of 20 cases of soft drinks 2,000 50,000 • A check of P43,000 was drawn on December 31,2020 payable to petty cash. 3. What is the "cash" balance on December 31,2020?