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 profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x)=-2300+40x R(x)=840x-x² a) Determine and simplify the profit function. Write your answer in descending order. P(X)-2) 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?51, 52, 53
- Assume 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.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
- I am not sure how to do thisA 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.Hello, Please answer the question completely and correctly except A) Thanks Mahboob
- Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.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=aY' + bY2 +kY + f , and the demand for the product of the firm is Y=32041/2)4, answer the following: Determine the coefficients of the cubic cost function. Derive all cost and revenue curves and the profit Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all Calculate the break even and profit maximizing levels of output and price. What is the relationship between price, marginal revenue and own price elasticity of demand at the profit maximization point.Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -6x² + 1620x - 36000 (a) What is the actual profit realized from renting the 61st unit, assuming that 60 units have already been rented? $ 40,434 X (b) Compute the marginal profit when x = 60 and compare your results with that obtained in part (a). $ 900