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The weekly demand function for x units of a product sold by only one firm is...
Because the derivative of a function represents both the slope of the tangent to the curve...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
1 - the annual demand for product 15600 units the weekly demand is 280 units with...
1 - the annual demand for product 15600 units the weekly demand is 280 units with a standard deviation 90 units the cost to place an order is $31.00 and the time from order to receipt is 4 weeks the annual inventory carrying cost is $0.10 per unit A- what is the EOQ quantity? B- from the information above what is the reorder point maintain a 95% service level? 2 - the weekly demand is 200 units the cost to...
A firm faces the following average revenue (demand) curve: P= 135 -0.020 where Q is weekly...
A firm faces the following average revenue (demand) curve: P= 135 -0.020 where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 50Q + 25,000 Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is units, the price is cents, and the total profit is $ per...
A firm faces the following average revenue (demand) curve: P= 125 -0.02Q where Q is weekly...
A firm faces the following average revenue (demand) curve: P= 125 -0.02Q where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 45Q + 20,000. Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is units, the price is cents, and the total profit is $ per...
A firm faces the following average revenue (demand) curve: P = 130 - 0.02 where Q...
A firm faces the following average revenue (demand) curve: P = 130 - 0.02 where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 50Q + 20,000. Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is 2000 units, the price is 90 cents, and the total...
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equation...
#4
& 5, work shown.
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones...
The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p...
The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p = −0.04x + 517 (0 ≤ x ≤ 12,000) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by C(x) = 0.000004x3 − 0.05x2 + 400x + 80,000 where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield...
Find the price-demand function if the unit price of a product is $98.00, when the quantity demand...
Find the price-demand function if the unit price of a product is $98.00, when the quantity demanded is 10 units, and the unit price is $68.00 when the quantity demanded is 20 units. ii) What is the unit price of this product for a demand of 25 units? iii) Using price-demand function p(x) =-x+38, and cost function C (x) =9x+100 find: a) The break-even points b) The range of demand that ensures a profit and loss is made. c) The...
QUESTION ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced...
QUESTION ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be MC = q +35 MR = 560 + 22q-q? Where q is the quantity produced and the firm's break-even is 5 units per week You are Required to 1. determine the total cost and the total revenue function in terms of q. (6 marks) II. estimate the output at which profit is maximize (6 marks) III. calculate...
Problem 5. This problem asks you to find the supply function of a firm that only...
Problem 5. This problem asks you to find the supply function of a firm that only uses one input (z) to produce one output (q). In addition, it highlights how the choices we make to represent an economic situation can influence the conclusions we arrive at. Suppose there is a firm operating in a competitive environment. The firm has a technology given by f(z)Az, where z 20 is the amount of labor the firm hires at a wage of w...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
A firm faces the following average revenue (demand) curve: P= 135 -0.020 where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 50Q + 25,000 Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is units, the price is cents, and the total profit is $ per...
A firm faces the following average revenue (demand) curve: P= 125 -0.02Q where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 45Q + 20,000. Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is units, the price is cents, and the total profit is $ per...
A firm faces the following average revenue (demand) curve: P = 130 - 0.02 where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by C = 50Q + 20,000. Assume that the firm maximizes profits. a. What is the level of production, price, and total profit per week? (Round all responses to two decimal places.) The equilibrium quantity is 2000 units, the price is 90 cents, and the total...
#4
& 5, work shown.
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones...
QUESTION ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be MC = q +35 MR = 560 + 22q-q? Where q is the quantity produced and the firm's break-even is 5 units per week You are Required to 1. determine the total cost and the total revenue function in terms of q. (6 marks) II. estimate the output at which profit is maximize (6 marks) III. calculate...
Problem 5. This problem asks you to find the supply function of a firm that only uses one input (z) to produce one output (q). In addition, it highlights how the choices we make to represent an economic situation can influence the conclusions we arrive at. Suppose there is a firm operating in a competitive environment. The firm has a technology given by f(z)Az, where z 20 is the amount of labor the firm hires at a wage of w...
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