2. Consider a manufacturing firm with total cost function: TC = 250,000 + 40Q + 0.01Q2, and market demand function: P = 940 – 0.02Q (a) Determine the firm’s profit function. (b) Determine the firm’s OPTIMAL output level. (c) Find the market price of the output at optimal operation?
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2. Consider a manufacturing firm with total cost function:
TC = 250,000 + 40Q + 0.01Q2, and
(a) Determine the firm’s profit function.
(b) Determine the firm’s OPTIMAL output level.
(c) Find the market price of the output at optimal operation?
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- Bitcom, a manufacturer of electronics, estimates the following relation between marginal cost of production and monthly output: MC= $150+ 0.005Q What does this function imply about the effect of the law of diminishing returns on Bitcom’s short-run cost function? Calculate the marginal cost of production at 1,500, 2,000, and 3,500 units of output. Assume Bitcom operates as a price taker in a competitive market. What is this firm’s profit-maximizing level of output if the market price is $175? Compute Bitcom’s short-run supply curve for its product. Provide a 100 word summary of how this can be applied to the current economy. Show Calculations and can it be done in Excel?Q)Assume that a competitive firm has the total cost function: TC=1q^3−40q^2+740q+1600 Suppose the price of the firm's output (sold in integer units) is $650 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. A. How many units should the firm produce to maximize profit? B. What is the total profit at the optimal output level? Please specify your answer as an integer.Q: determine whether the following statements are true or false: a) Average fixed costs increase when the total volume of the produced goods increases. b) If the market price is constant, the increase in output will not affect the size of the firm's profit.
- A firm's demand and total cost function are given by the expression: P = 20 - Q/2 (1) TC = 0.5Q2 + 36 (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.Assume that a competitive firm has the total cost function: TC=1q3−40q2+880q+2000 T C = 1 q 3 - 40 q 2 + 880 q + 2000 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. How many units should the firm produce to maximize profit? Please specify your answer as an integer. What is the total profit at the optimal output level? Please specify your answer as an integer.Assume that marginal revenue equals rising marginal cost at 100 units of output. At this output level, a profit-maximizing firm's total fixed cost is $600 and its total variable cost is $400. If the price of the product is $15 per unit and the firm produces at the profit-maximizing level, the firm will earn an economic profit equal to a. zero. b. its normal profit. c. more than zero but less than $500. d. $500. e. more than $500.
- Consider that a company has a total cost function TC = 3Q3+2Q2+6. a.What is the average and marginal cost function and what are their values ifQ = 8?b. If the (inverse) demand function facing the firm is P = 6 - 2Q, what value must the slope of the isobenefit curve take for the firm to maximize its profit? Indicate the generic condition as well.Define Q to be the level of output produced and sold and assume that the firm’s cost function is given by the relationship: TC = 20 + 5Q+Q2. Furthermore, assume that the demand for the output of the firm is a function of price P given by the relationship: Q=25− P a)Define total profit as the difference between total revenue and total cost and express in terms of Q the total profit function for the firm. Note: Total revenue equals price per unit times the number of units sold. b)Determine the output level where total p rofits are maximized. c)Calculate total profits and selling price at the profit-maximizing output level. d) If fixed costs increase from $20 to $25 in the total cost relationship, determine the effects of such an increase on the profit-maximizing output level and total profits. Use the cost and demand functions in Exercise 5 to calculate the following: e)Determine the marginal revenue and marginal cost functions. f) Show that, at the profit-maximizing output level…Define Q to be the level of output produced and sold, and assume that the firm’s cost function is given by the relationship TC = 20 + 5Q + Q2 Furthermore, assume that the demand for the output of the firm is a function of price P given by the relationship Q = 25 - P a. Define total profit as the difference between total revenue and total cost, and express in terms of Q the total profit function for the firm. (Note: Total revenue equals price per unit times the number of units sold.) b. Determine the output level where total profits are maximized. c. Calculate total profits and selling price at the profit-maximizing output level. d. If fixed costs increase from $20 to $25 in the total cost relationship, determine the effects of such an increase on the profit-maximizing output level and total profits.
- A firm has the following demand and average total cost functions: Q = 30 − PATC =7/Q− 6 +1/2Q Find:i. The total revenue function ii. The total cost function iii. The level of output that will maximize revenue and minimize total costs iv. The profit function and the level of output that maximize profits v. Show that AR = PAssume that a firm’s marginal revenue curve intersects the rising portion of its marginal cost curve at 500 units of output. At this output level, a profit-maximizing firm’s total cost of production is $1,000. If the price of the product is $5 per unit, the total revenue earned by the firm will be:Question (3): Consider the firm whose goal is to maximize profits and there is competition in the marketplace. The firm’s total revenue and cost functions are displayed below. R(q)=q2+14q+20 C(q)=2q2-8q+15 What is the firm’s total fixed cost function, and total fixed costs of production? How many units must the firm manufacture to minimize its total costs of production? (For this question give me detailed, not too much, answer )