Consider an activity A that has the following marginal benefit (MB) and marginal cost (MC) functions: MB - 50 - 0.025A and MC 40 + 0.0254 and the following total benefit (TB) and total cost (TC) functions: TB 50A - 0.0125A and TC- 40A +0.01254. What is the optimal level of activity? Select one a.300 b400 c.100 d.500 200
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- Suppose that the total benefit and total cost from a continuous activity are, respectively, given by the following equations: B (Q) = 100 + 36Q -4Q and C (Q) = 80 + 12Q a)-What are the marginal net benefits when Q= 1? Q= 5? b)-What level of Q maximizes net benefits? c)-At the value of Qthat maximizes net benefits,what is the value of marginal net benefits?Suppose marginal benefits and marginal costs are given by B(Y) = 100 − 16Y and C(Y) = 20Y. What level of Y will yield the maximum net benefits?Suppose that the total benefit and total cost from a continuous activity are, respectively, given by the following equations: B (Q) = 100 + 36Q -4Q and C (Q) = 80 + 12Q Write out the equationfor the net benefits. What are the net benefits when Q= 1? Q= 5? Write out the equation for the marginal net benefits. What are the marginal net benefits when Q= 1? Q= 5? What level of Q maximizes net benefits? At the value of Qthat maximizes net benefits,what is the value of marginal net benefits?
- Complete the following table and answer the accompanying questions. Control Variable Q Total Benefits B(Q) Total Cost C(Q) Net Benefits Benefits N(Q) Marginal Benefit MB(Q) Marginal Cost MC(Q) Marginal Net Benefit MNB(Q) 100 1,200 950 210 60 101 1,400 70 102 1,590 80 103 1,770 90 104 1,940 100 105 2,100 110 106 2,250 120 107 2,390 130 108 2,520 140 109 2,640 150 110 2,750 160 a. At what level of the control variable are net benefits maximized? b. What is the relation between marginal benefit and marginal cost at this level of the variable? multiple choice Marginal cost is much smaller than marginal benefit. Marginal cost is slightly larger than marginal benefit. Marginal cost is slightly smaller than marginal benefit. Marginal cost is much larger than marginal benefitSuppose that you can purchase satellite TV service for a fixed monthly fee of $79, no matter how many hours of TV you watch. Assuming that the principle of diminishing marginal benefit applies to watching TV, the optimal (efficient) number of hours of TV to watch per month is: Group of answer choices Zero The number of hours where marginal benefits are zero. The number of hours where marginal cost is lowest. The number of hours where marginal benefits are maximized.You are the manager of a firm that specializes in small single-board widgets.Your goal is to determine the number of units (Z) that must be produced and sold by your firm each month in order to maximize profits. The total benefits (revenues) and costs to your firm of producing various quantities are given in the first three columns of the following table. Based on this scenario, complete the table and answer the accompanying questions: Control Variable (Z) Total Benefits B(Z) Total Cost C(Z) Net Benefits N(Z) Marginal Benefit MB(Z) Marginal Cost MC(Z) Marginal Net Benefit MNB(Z) 0 0 0 1 200 10 2 380 30 3 540 60 4 680 100 5 800 150 6 900 210 7 980 280 8 1040 360 9 1080 450 10 1100 550 A. Graph the total cost and total benefit curves.B. On another graph, plot the points for the marginal cost, marginal benefit, and marginal net benefit.C. Show how the two…
- You are the manager of a firm that specializes in small single-board widgets.Your goal is to determine the number of units (Z) that must be produced and sold by your firm each month in order to maximize profits. The total benefits (revenues) and costs to your firm of producing various quantities are given in the first three columns of the following table. Based on this scenario, complete the table and answer the accompanying questions: Control Variable (Z) Total Benefits B(Z) Total Cost C(Z) Net Benefits N(Z) Marginal Benefit MB(Z) Marginal Cost MC(Z) Marginal Net Benefit MNB(Z) 0 0 0 1 200 10 2 380 30 3 540 60 4 680 100 5 800 150 6 900 210 7 980 280 8 1040 360 9 1080 450 10 1100 550 a. How many units (Z) maximize net benefits?b. What is the relationship between marginal benefits and marginal costs at the level of Z you determined above?c. Graph the total…B. Mang Ed plans to buy x goats and y pigs with a budget of Php 6,000. His farm can keep up to 8 goats and 7 pigs. Each goat costs Php 550 and each pig costs Php 700.1. Identify the variables. Make a table of values.2. Set up the objective function. 3. Give the constraints in a mathematical expression.4. Graph the constraints and identify the solution. 5. If each goat yields a profit of Php 120 and each pig yields a profit of Php 200, how many goats and pigs should Mang Ed buy to maximize his profit? 6. What is that maximum profit per week?Marginal Analysis is an examination of the additional benefits of an activity compared to the additional costs incurred by that same activity. This table displays a marginal analysis of buying an extra slice of pizza. The Marginal Benefit column represents the willingness to pay for each slice. Use the table to determine which of the following statements is most true? A) You will purchase 1 slice of pizza because the Marginal Benefit of the second slice exceeds the marginal Cost. B) You will purchase 2 slices of pizza because the Marginal Benefit of the third slice exceeds the marginal Cost. C) You will purchase 3 slices of pizzas because the Marginal cost of the fourth slice exceeds the Marginal Cost. D) You will purchase 2 slices of pizza because the marginal Cost of the third slice exceeds the marginal Benefit.
- Studying has both cost and benefits. If you continue to study as long as the marginal benefits of studying are greater than the marginal costs and stop studying when the two re equal, will your action be consistent with having maximized the net benefits of studying? Explain your answer.Assume that the price per hamburger is $2.50. The incremental value to you of each hamburger is described in the table below. If you are seeking to maximize total net gains from hamburgers, how many hamburgers should you purchase? Pairs of jeans Marginal Benefit 1 $8.00 2 $6.00 3 $4.00 4 $2.00 5 $0.00 Group of answer choices 3 2 4 5 1