If C(x) = 18,000+ 600x-0.6x2 + 0.004x³ is the cost function and p(x) = 1,800 6x is the demand function, find the production level (in units) that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.) x units Submit Answer Home My Assignments Request Extension
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- The table shows the marginal cost C'), the marginal revenue R'(x) for producing x items. The third column, P'(x). is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. (a) Complete the remaining entries in the third column of the table on the right. c'(x) R'(x) P'(x) -21 62 41 (b) What does the table tell you about the revenue function? Select one and complete the box, if necessary. 10 41 41 40 14 41 O A. Items sell for $ each. 70 41 41 O B. There is not enough information to determine anything about the revenue function. 90 206 41 - 165 (c) Find the production level that maximizes profit. Profit P(x) is a maximum when x= items are produced.Give the area that represents the following Total CostTotal Variable CostTotal Fixed CostTotal RevenueProft/Loss Area2) The owner of a restaurant that you are thinking of purchasing, tells you for x customers per week the weekly cost and revenue in dollars is C(x) = 15000+2x and R(x) = 500x-3x² a) Find the profit function P(x) b) Find the break-even quantities rounding properly to a whole number. (Hint: Use the Quadratic formula) c) Why is the minimum break-even quantity important?
- Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly pleaseAssume that the linear cost and revenue models apply. An item costs $6 to make. If fixed costs are $2400 and profits are $2100 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.) R(x) =When total revenue is $4000, explicit cost is $700, and implicit cost is $500, then calculate the economic gain.
- Please no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.Distinguish between implicit and explicit costs. How is it possible to havepositive accounting profit and negative economic profit concurrently?Question 1 A computer retailing company specializes in the sale of jump drives to community college students The demand function for jump drives is p=2x- +10=1000 dollars For the samne company the average cost function is given as. 2+36v-1600 - dollars Where pis the price n dollars and x represents units ofiourput. Determine the revenue function Determine the cost funetion Determine the profit function Find the price and output that will maximıze profir, Find the maximum profit 11 111) Iv) Ouestio n 2
- A firm has the following information on production and costs from past data: Output (Y) 0 6 12 18 Total Cost (TC) 9 2775 5361 8199 If the total cost function is known to be TC=aY3+bY2+kY+f, and the demand for the product of the firm is Y=320-(1/2)P. answer the following: Determine the coefficient of the cubic cost function. Derive all cost and revenue curves and the profit function. Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all points.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 = 500A 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 means