A firm is faced with the demand function p= 18 - 2g. Its foed cost is known to be 20 and its unit variable cost is 4. Estimate the interval within which the firm achieves a positive profit. What is the profit madmizing output for the firm? Use a second-order condition.
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- Suposse a munufacture of widgets has a fixcost of $2500, a variable cost of $30 per widget ans sell 100 widgets for 4,500. Find the cost function C(n) Find the revenue function R(n) Find the profit function P(n)The demand curve of a firm is p=1200– 21q and its total cost is C(q) = 2q – 66q² +600q+1000 where q is the output of the firm (in thousands). (i) Derive an expression R(q) for the firm' s revenue function. (ii) Derive an expression II(q) for the firm' s profit function. (iii) Is the rate of change of profit increasing or decreasing when the output level of the firm is 10,000 units?A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit Question
- Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500The daily demand function for x LED lights sold by a major retailer is p = 715 0.75x dollars, and the average cost of sales is C = 220 +2x dollars. Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit.= 40q – 12q² and its where q is the firm's output. (b) The total revenue curve of a firm is R(q) 400 average cost A(q) q² – 12.85q + 20 + i. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit?
- Profit maximizing output is at: * 100 320 440A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (e) What is the maximum profit?Find economic profit if total revenue is $4000 , explicit cost is $700 and implicit cost is $500
- A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (d) How many laundry sinks will the company need to produce in order to maximise it′s profits?A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bicycle. The selling price is $300 per bike.let x represent the number of bicycles produced and sold.Describe business ventures. a. Write the cost function, C.b. Write the revenue function, R.c. Determine the break-even point. Describe what this meansIf explicit cost is $300, implicit cost Is $220 and total revenue is $700 Find Economic profit