1. A company manufactures and sells x television sets per month. The monthly cost and price-demand equation are C(x) = 72,000+ 60x p=200-. X 30 a) Write the Revenue and Profit functions, and determine their domain. b) Sketch a careful graph of the Revenue and Cost functions (the domain of the functions must be clearly indicated on the graph). On the graphs, indicate where the break-even points are and the production levels (values of x) that result in profit, and the ones that result in loss.
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- Q2.The management of an ‘Electronic Goods’ manufacturing company asked you to give an advice about changing its current production plan, given the following information:- Annual production plan of computers is 4200 computers.- Total cost of production is OMR 824000.- Fixed cost is OMR 320000.- Revenue function: R = 460.2Q – 0.05Q2 1-Use the above information to formulate the price function and the total cost function, and determine the following: 1) Profit-maximizing quantity.2) Profit-maximizing price.3) Maximum profit value.4) Revenue-maximizing quantity. 2-Should the company change its current annual production plan of computers in order to maximize its profit?Habib Bank Limited estimates equation of demand of its product as: Q = 55 – 0.5P - (where P = price and Q = Quantity of output), and its total cost of production as TC = 20 + Q + 0.2Q2 Where TC = total cost and Q = Quantity of output) Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC? Average Variable Cost AVC? Average Fixed Cost AFC.? Marginal Cost MC? The output level that will maximize total profit and the amount of revenue and profit that Habib Bank would receive at optimal level of production.? The output level that minimizes average total cost.? please answer all questions1- Suppose that the total cost function of a firm is given as follows;TC = 500 + 2Q2And the price of the firm’s product is determined by the market equilibrium at $100.a- Set the profit maximizing condition . Find the profit maximizing output level for this firm .b- What is the total revenue ?c- What is the total cost ?d- What is the profit earned by the firm ?e- Illustrate your answer by using a well-labeled graph .f- Denote the break even price level with Pb on the same graph .g- Denote the shut down price level with Ps on the same graph.h- Show the firm’s supply curve on the same graph .i- Does the firm function in short-run or long-run ? Why ?
- Suppose 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.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 > QP1. If profit is maximum at sales of 700 units, does the firm have no choice but to limit sales at this level? Explain your answer. 2. A business firm produces and sells a particular Variable cost is P30/unit. Selling price is P40 per unit. Fixed cost is P60,000. a. What is the break-even quantity and break-even point? Show your solution. 3. A manager makes the statement that output should be expanded as long as average revenue exceeds average Does this strategy make sense? Explain. 4. Suppose that the steel firm’s costs are shown below: Complete the table and determine the optimal output to be Price of steel P17 per unit. Output (Q) TFC TVC TC MC TR MR Profit/Loss 0 500 0 1 500 50 2 500 90 3 500 140 4 500 200 5 500 270 6 500 350 7 500 450…
- 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.Can you help me with the Question D, E, and F? I would like check for the answer. So you don't have to calculate the questions for A, B, and C because I already figured out the answers. Thank you for the help. Rosebud Private Limited produces cooking oil and has many competitors producing close substitutes products. The firm has the following revenue and cost functions. TR = 15Q – 0.3Q2 TC = 8Q + 0.02Q2 Where Q is output and price is in $. A. Identify the market structure the firm is operating in. Explain your choice. B. Determine the output that maximizes total revenue. C. Using marginal approach, determine the output and price that maximizes profit. (Hint: TR=P.Q) D. Determine the profit/loss of the firm. E. Based on approach in (c), illustrate using completely label diagram for situation that you obtain in (d). F. Is the firm operating in the short run or long run? Give your reasonQuestion 15 (i) Which of the following is(are) correct about how accountants and economists consider costs? Accountants consider only implicit costs Economists consider both explicit and implicit costs A: 1 only B: 2 only C: Both 1 and 2 D: Neither 1 nor 2 (ii) Which of the following statements is(are) correct for a monopoly firm and a competitive firm? Both firms earn economic profit in the long run. Both firms aim to maximize profit and produce at P = MC. A: 1 only B: 2 only C: Both 1 and 2 D: Neither 1 nor 2
- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?The average cost and average revenue functions for a particular brand of mobile phone are given by the equations AC = 15 + 8000Q and AR = 25 (a)Write down the equations for TR, TC, MR, MC. (b)How many mobile phones must be made and sold to break even? (c)Write down the equation of the profit function. Show, by differentiation, that neither profit nor revenue ever reach a maximum. Use MR and MC to explain why there is no maximum. (d)Plot the graphs of TR, TC and the profit function on one diagram. Plot MR and MC on a separate diagram. Comment on the relationship between the two diagrams.Question 1: Given the following cost function:TC = 1500 + 15Q – 6Q2 + Q3i. Determine the total fixed cost for producing 1000 units of output and 500 units of output.ii. What is AFC at:a) 1000 units of outputb) 500 units of outputiii. Determine TVC, AVC, MC and AC at 50 units of output. Question 2: The demand function equation faced by PTCL for its computers is given by:P = 50,000 – 4Qi. Write the marginal revenue equationii. At what price and quantity marginal revenue will be zero?iii. At what price and quantity will total revenue be maximized? Question 3: Suppose the following demand and supply function:Qd = 750 – 25PQs = -300 + 20 Pi. Find equilibrium price and quantityii. Find consumer and producer surplus Question 4: Given production function:Q = L 3/4 . K1/4Find out the optimal quantities of the two factors using Lagrangian method, if it is given that price of labor is Rs.6 and price of capital is Rs.3 and total cost is equal to Rs.120.Question 5: Given the cost function isTC = 6L…