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?
In the answer there is one minor tpying mistake.
Instead of "output can't be minimum"
It would be "output can't be negative".
Suppose the total benefit derived from a continuous decisions, Q, is B(Q)=20Q-2Q^2 and the total cost...
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 . (6) (4 points) What level of Q minimizes total cost?
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...
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)...
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)...
Suppose the firm’s total cost and marginal cost functions are given by TC=54+Q+2Q^3 and MC=1+4Q^2, respectively. What is the output level that minimizes average total cost? A. 2 B. 3 C. 6 D. 8
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?
suppose a firm's total cost of production (TC) is tc=2Q^2 mc=4Q Suppose a firm's total cost of production (TC) is TC = 20 MC = 40 What do the firm's average total cost curve, average variable cost curve, and marginal cost curve look like? Draw the following curves from 0 to 5 units of output. 1.) Using the line drawing tool.graph the firm's average total cost curve and label it ATC 2.) Using the line drawing tool, graph the firm's...
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 an electricity generating firm exists with the following cost functions, C(Q) = 2Q^2 + 3Q + 72, FC = 72, MC(Q) = 4Q + 3, AC(Q) = 2Q + 3 + (72/Q), AVC(Q) = 2Q + 3 Graph the AC(Q), the AVC(Q), the MC(Q) on the same graph below. Hint, this is easiest to do by creating a schedule with quantity from 1 – 10 and calculating the corresponding costs for each quantity. I.e., when Q = 1, the AVC =?...
Suppose the firm's total cost and marginal cost functions are given by TC = 54 + Q + 2Q3 and MC = 1 + 4Q2, respectively. What is the output level that minimizes average total cost? 2 3 6 8