A furniture company is producing two types of furniture. Product A requires 8 board feet of wood and 2 lbs of wicker. Product B requires 6 board feet of wood and 6 lbs of wicker. There are 2000 board feet of wood available for product and 1000 lbs of wicker. Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit. What should the objective function be? O Maximize 30A 40B O Maximize 10A 12B O Maximize 8A+2A+68+68 O Maximize 14Wood 8Wicker
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
- 4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?A mixture of pellets is to be made containing x regular pellets, y large pellets and z extra large pellets. Cost, weight and volume data for each type of pellet are shown in the table. Is it possible to make mixture of 55 pellets at a cost of $0.85 if the mixture is to have 120 weight units and 130 volume units? If so, how many each type of pellet should be in the mixture? Pellet Type 5. Number of Cost per Pellet in Cents Weight Units per Pellet Volume Pellets Units per Pellet Regular Large Extra large 2 1 4 y 1 4 3. A group of students organizes a bake sale in which they sell hundreds of cookies at $1per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables is an output variable?a. 3b. 4c. 5d. None of the above
- What combination of x and y will yield the optimum for this problem? Maximize Z = $3x + $15y Subject to: Multiple Choice x= 0, y=4 x= 0, y=3 x= 0, y=0 x= 2y=0 O x=1,y=25 2x + 4y ≤ 12 5x + 2y ≤ 10For Lodes Company, the relevant range of production is 40–80% of capacity. At 40% of capacity, a variable cost is $4,000 and a fixed cost is $6,000. Explain the behavior of each cost within the relevant range assuming the behavior is linear.XYZ Corporation manufactures two products, Simple and Complex. The following annual information was gathered: Simple Complex Selling price per unit P47.00 P26.00 Variable cost per unit 42.00 22.00 Total annual fixed costs are P18,000. Assume XYZ Corporation can produce and sell any mix of Simple or Complex at full capacity. It takes 1.5 hours to make one unit of Complex. However, Simple takes 50% longer to manufacture when compared to Complex. Only 120,000 hours of plant capacity are available. How many units of Simple and Complex should XYZ Corporation produce and sell in a year to maximize profits?
- As a prospective owner of a club known as the Red Rose, you are interested in determining the volume of sales dollars necessary for the coming year to reach the break-even point. You have decided to break down the sales for the club into four categories, the first category being beer. Your estimate of the beer sales is that 32,000 drinks will be served. The selling price for each unit will average $1.50; the cost is $1.25. The second major category is meals, which you expect to be 10,000 units with an average price of $12.50 and a cost of $6.00. The third major category is desserts and wine, of which you also expect to sell 8,000 units, but with an average price of $2.25 per unit sold and a cost of $1.25 per unit. The final category is lunches and inexpensive sandwiches, which you expect to total 24,000 units at an average price of $6.50 with a food cost of $3.75. Your fixed cost (i.e., rent, utilities, and so on) is $1,600 per month plus $2,200 per month for entertainment.…each company sinks wells of the same size at the same time. If both companies sink wide wells, each will extract 2 million barrels in 6 months, but each company will receive profit of only GHC 1 million. On the other if each company sinks a narrow well, it will take a year for Clampett and TEXplor to extract their respective shares, but their profits will be GHC14 million apiece. Finally, if one company drills a wide well while the other company drills a narrow well, the first company will extract 3 million barrels and the second company will extract only 1 million barrels. In this case, the first company will earn profits of GHC 16 million and the second company will actually lose GHC 1million.1. Illustrate this using a normal form game. 2. Does either firm have a strictly dominant strategy? If yes, what is (are) these strategies? Explain your answer. 3. What strategy will each firm adopt? Explain your answer. 4. Does this game have a Nash equilibrium? Explain your answer5. Is…Two firms, A and B, each currently dump 168 tons of chemicals into the local river. The government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. The government gives each firm 90 pollution permits. The abatement costs of one ton of pulltion is $122 for Firm A and $147 for Firm B. What would be the total cost of reducing pollution, if the government does NOT allow the firm to trade the permits between each other?