Given the following total-revenue and total-cost functions of a firm: TR = 4Q TC = 0.04Q³ – 0.9Q² + 10Q + 5 1. Determine the level of output at which the firm maximizes its total profit. 2. Determine the maximum profit that the firm could earn.
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Given the following total-revenue and total-cost functions of a firm:
TR = 4Q
TC = 0.04Q³ – 0.9Q² + 10Q + 5
1. Determine the level of output at which the firm maximizes its total profit.
2. Determine the maximum profit that the firm could earn.
For the following total-profit function of a firm:
= 144X – 3X² – XY – 2Y² + 120Y – 35
Determine the level of output of each commodity at which the firm maximizes its total profit.
Determine the value of the maximum amount of the total profit of the firm.
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- For the following total-revenue and total-cost functions of a firm: TR=22Q - 0.5Q2 TC= (1/3)Q3 - 8.5Q2 + 50Q + 90 Determine the level of output at which the firm maximizes its total profit. Determine the maximum profit that the firm could earn.PakMonoG’s inverse demand function is P = 100 – 2Q and cost function is TC = 10 + 2Q, where Q is quantity in units and P price in PKR. Determine the profit-maximizing price, quantity and profit (or loss) of PakMonoG. Given your calculations in (a), illustrate the demand, marginal revenue and marginal cost curves of the firm in a graph. If we were to compare PakMonoG with a perfect competitive firm in the market, are there differences in characteristics of the two structures? What are welfare implications? Is total societal welfare of the firm higher or lower than that of a competitive firm? Support your answer using the graph in (b) above.PakMonoG’s inverse demand function is P = 100 – 2Q and cost function is TC = 10 + 2Q, where Q is quantity in units and P price in PKR. Determine the profit-maximizing price, quantity and profit (or loss) of PakMonoG. Given your calculations in (a), illustrate the demand, marginal revenue and marginal cost curves of the firm in a graph. If we were to compare PakMonoG with a perfect competitive firm in the market, are there differences in characteristics of the two structures? (Maximum 150 words) What are welfare implications? Is total societal welfare of the firm higher or lower than that of a competitive firm? Support your answer using the graph in (b) above. (Maximum 150 words)
- A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR = P1Q1 + P2Q2 and TC = 2Q12 + Q1Q2 +2Q22 Where, P1 = 12 and P2 = 18. Form the profit function and identity the critical value Q1*. Identity the critical value Q2*. Construct the Hessian matrix and calculate the value of |H1|. Calculate the value of |H2|. Based on the values of Hessian, what can you say about the profit?19. Given the total revenue and the total cost function in # 18, the corresponding marginal revenue is computed as MR = 78 – 4Q, while the marginal cost is MC = 2, find the optimal level of output that maximizes profits where MR = MC A. Q = 18 B. Q = 19 C. Q = 20 D. Q = 21 E. No correct answerSuppose that the total revenue function of a firm is defined as TR= (P)(Q) where TR= f(Q). The usual notation applies. 1. . Find the total revenue function TR(Q) if the inverse demand function is given by P(Q) = 80-0.2Q2. What is the shape of the total revenue function if graphed? State your basis.
- 1. Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is: q = 4000 − 250p and his total cost function is: C(q) = 500 + 0.2q (i) Derive an expression, R(q) for Teddy J′s total revenue curve.(ii) Derive an expression, Π(q) for Teddy J's profit function.(iii) Determine whether Teddy J′s profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid.The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30 q2 − 12.85q + 20 + 400/q , ,where q is the firm's output. Is the rate of change of profit increasing or decreasing when the output level of the firm is 10 units?For a company with (inverse) demand function P = 4,510 - 55Q and cost function C = 88,000 + 660Q, let QR, QU, and QP denote, respectively, the quantities that maximize revenue, per-unit profit, and overall profit. Which of the following statements is true?A. QU > QP > QRB. QP > QU > QRC. QU > QR > QPD. QR > QU > QP
- Suppose you are given the following information about a particular industry Q(d) = 6500 - 100P Market Demand Q(s) = 1200P Market Supply C(q) = 722 + q^2/200 Firm total cost function MC(q) = 2q/200 Firm marginal cost function Assume that all firms in this industry are identical and that the market is characterized as perfect competition. Find the equilibrium price, the equilibrium quantity, the output supplied by the firm, and the profit of each firm. Would you expect to see entry into or exit from the industry in the long run? What effect would this entry or exit have on market equilibrium? What is the lowest price at which each firm would stay and sell its output in the long run? Is profit positive, negative or zero at this price? What is the lowest price at which each firm would sell its output in the short run? Is profit positive, negative, or zero at this price?Consider the following price-demand function: P = 80 − 4Q, {Q/0 ≤ Q ≤ 10} (i) Sketch the price-demand function(ii) Find the revenue function.(iii) Suppose C = 20 + 5Q , find the profit function(iv) Calculate the profit if Q=8(v) Find the break-even level of output You have to solve iv and vProve that the marginal revenue curve has twice the slope and the same intercept as a linear demand curve (say p(q) = a - bq).