Suppose that the total benefit and total cost from a company are given by the following equations: B(Q) = 118.5 + 27.6Q - 1.7Q2 and C(Q) = 63.5 + 11.3Q + 0.6Q2.
The Q that maximizes net benefits is:
At the Q that maximizes net benefits, the value of the marginal net benefits is:
At the optimal Q, the net benefits are:
Suppose that the total benefit and total cost from a company are given by the following...
Suppose the total benefit & total cost from a continuous activity are given by the two equations 1) B(X) = 100 + 36X - 4X^2 And 2) C(X) = 80 + 12X A) What are the net benefits when X =1? x=5? B) What are the marginal net benefits when X= 1? X=5? C) What level of X maximizes net benefit? D) At the value of X that maxes net benefits, what is the value of marginal net benefits?...
Suppose that the total benefit and total cost from a continuous activity are B(Q) = 76 + 24Q – 2Q2 and C(Q) = 60 + 6Q. What level of Q maximize net benefits? At the value of Q that maximize net benefits, what is the value of marginal net benefits?
Question 2: Working with Marginal Benefits and Costs Suppose the total benefit derived from a continuous decisions, Q, ís B(Q) = 200-202 and the total cost from deciding Q is C(O) 4+2Q. The marginal benefit (MB) and marginal cost (MC) is the first order derivative of these functions. MBO) 20-4 and MC(O) 4+40 (1) (4 points, 2 each) What is the total benefit when Q-2? Q-10? (2) (4 points, 2 each) What is the marginal benefit when Q-2? Q-10? (3)...
Question 2: Working with Marginal Benefits and Costs Suppose the total benefit derived from a continuous decisions, Q, is B() 200-202 and the total cost from deciding Q is C(Q)-4Q +20. The marginal benefit (MB) and marginal cost (MC) is the first order derivative of these functions. MB)2040 and MC() 4 +40 (1) (4 points, 2 each) What is the total benefit when Q-2? Q-10? (2) (4 points, 2 each) What is the marginal benefit when Q-2? Q 10? (3)...
Suppose the total benefit derived from a continuous decisions, Q, is B(Q) = 20Q − 2Q and the 2 total cost from deciding Q is C(Q) = 4Q + 2Q . The marginal benefit (MB) and marginal cost (MC) 2 is the first order derivative of these functions. MB(Q) = 20 − 4Q and MC(Q) = 4 + 4Q . (1) (4 points, 2 each) What is the total benefit when Q=2? Q=10? (2) (4 points, 2 each) What is...
(1) Suppose that Ralf enjoys collecting morel mushrooms from the forest. The marginal benefit that he receives (in dollar terms) from each additional mushroom can be represented by the function MB = 42 – 4m (where m represents the quantity of mushrooms). Ralf’s marginal cost of collecting mushrooms is given (in dollar terms) by the function MC = 2m. A.How many morel mushrooms will Ralf optimally collect? In other words, what quantity of mushrooms maximizes Ralf's net benefits? Show your...
Suppose that Ralf enjoys collecting morel mushrooms from the forest. The marginal benefit that he receives (in dollar terms) from each additional mushroom can be represented by the function MB = 42 – 4m (where m represents the quantity of mushrooms). Ralf’s marginal cost of collecting mushrooms is given (in dollar terms) by the function MC = 2m. How many morel mushrooms will Ralf optimally collect? In other words, what quantity of mushrooms maximizes Ralf's net benefits? Show your work...
Assume that total benefits for a given level of output are given as B(Q) = 100 + 20Q - 2Q2, and that C(Q) = 20 + 10Q. Assume that Q is in thousands units and benefits and costs are in dollars. Write out the net benefit equation: What are the net benefits when Q = 10? Explain result meaning based on the economic theory. Write out the equation for marginal benefits. What is the benefit from selling an additional unit...
This is a multipart question. Assume that total benefits for a given level of output are given as B(Q) = 100 + 20Q - 2Q2, and that C(Q) = 20 + 10Q. Assume that Q is in thousands units and benefits and costs are in dollars. 1. Write out the net benefit equation: 2. What are the net benefits when Q = 10? Explain result meaning based on the economic theory. 3.Write out the equation for marginal benefits. What is...
Suppose the total benefit derived from a continuous decisions, Q, is B(Q)=20Q-2Q^2 and the total cost from deciding Q is C(Q)=4+2Q^2. The marginal benefit (MB) and marginal cost (MC) is the first order derivative of these functions. MB(Q)=20-4Q and MC(Q)=4+4Q. What level of Q minimizes total cost?