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- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.14.The demand function for a new product is p(x) = - 2x + 7 , where p is the selling price of the product and x is the number sold in thousands. The cost function is C(x) = x + 2 . a) Determine an equation for the profit, in standard form and in function notation. b) How many units must be sold for the company to break even?Suppose the Sunglasses Hut Company has a profit function given by P(q) - 0.01q² + 5q - 40, = where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing a pairs of sunglasses. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q) = B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected.
- ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be �ж=�35 �х=560+22�Ȓ� Where �is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q.Assume that B = -Q 2 + 4,500Q and C= 2Q 2 are the benefits and costs of increasing the units of X-brand energy drink (in a 500 ml bottle).A. What is the profit function of X-brand energy drink production?Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750mlsize is q = 4000 − 250p and his total cost function is C(q) = 500 + 0.2q.(i) Derive an expression, R(q) for Teddy J′s total revenue curve.(ii) Derive an expression, Π(q) for Teddy J's profit function.(iii) Determine whether Teddy J′s profit is increasing or decreasing whenhe produces 5 hundred, 750ml bottles of dish washing liquid.(iv) How many 750ml bottles of dish washing liquid should Teddy J produceper month if he wishes to maximize his profits. thank you for your help
- (a) Teddy Jis a manufacturer of dish washing liquid. If his monthly demand function for 750ml size is q = 4000 – 250p and his total cost function is C(q) = 500 + 0.2q. (1) Derive an expression, R(q) for Teddy J's total revenue curve. (ii) Derive an expression, I(q) for Teddy J's profit function. (iii) Determine whether Teddy J's profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid.4. Find the optimum values. (i) Find the minimum value of Q that minimize the cost function: C= 30²-70+ 12. (ii)Find the maximum value of Q that maximize the revenue function: R = 100-Q².Calculate total revenue of a firm given that:- Profit = $500 Total cost = $1100
- 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. (b) Find a function for the average cost of this company?and The price-demand and cost functions for the production of microwaves are given as p=200- X 30 C(x) = 52000 + 110x, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units. (D) Evaluate the marginal revenue function at x = 1500. R'(1500) (E) Find the profit function in terms of x. P(x) = (F) Evaluate the marginal profit function at x = 1500. P'(1500)== 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?