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13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x +60 where...
the profit for a product can be described by the function p(x)=-0.4x^2+280-24000, where ex is the...
the profit for a product can be described by the function p(x)=-0.4x^2+280-24000, where ex is the number of units produced and sold. (a) to maximize profit, how many units must be produced and sold? (b) What it the maximum possible profit? (c) Producing and selling how many units will result in a profit of at least $9000?
Solve the problem. Rejoyne Inc. has a marginal-profit function given by P'(x) = -2x + 140,...
Solve the problem. Rejoyne Inc. has a marginal-profit function given by P'(x) = -2x + 140, where P'(x) is in dollars per unit. This means that the rate of change of total profit with respect to the number of units produced, x, is P'(x). Find the total profit from the production and sale of the first 30 units. O $110 O $6600 $3300 $80
The table shows the daily production level and profit for a business. Use the quadratic function...
The table shows the daily production level and profit for a business. Use the quadratic function yax+bx+c to determine the number of units that should be produced each day for maximum profit. What is the maximum daily profit? x (Number of Units Produced 30 Daily 50 100 y (Daily Profit) 56970 $8290 1000 Each day its should be produced to have a maximum daly protot
1) If a competitive firm's marginal profit is positive at an output of 1000 units, A)...
1) If a competitive firm's marginal profit is positive at an output of 1000 units, A) at 1000 units, MR = MC. B) it should produce more than 1000 units. C) it should produce less than 1000 units. 12) Ronny's Pizza House is a profit maximizing firm in a perfectly competitive local restaurant market, and their optimal output is 80 pizzas per day. The local government imposes a new tax of $250 per year on all restaurants that operate in...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are...
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
Financial Mathematics Please answer question 4 and question 5 o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Fi...
Financial Mathematics
Please answer question 4 and question 5
o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where...
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where q is hundreds of units for volumes less than 2,000. The demand function for electric cat bushes is described by: P(q)= -q^2-3q+1280, where p represents price in dollars. 1.) What are the company's marginal cost and marginal revenue functions? 2.) Calculate the number of units that produces the maximum profit. What price should the company charge and what is the maximum profit it will...
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 3 - Profit Maximization Consider the case of a firm that produces output x (sold...
Problem 3 - Profit Maximization Consider the case of a firm that produces output x (sold at price p) using a production function x = A*1941-a-Beß, where lis labor, k is capital, and e is energy (for example, oil or electricity). a) What is the interpretation of A? b) Under what condition(s) does the production function exhibit constant returns to scale? Is it homogeneous? Are the marginal products of inputs increasing, constant, or decreasing? c) Set up the profit maximization...
Solve the problem. Rejoyne Inc. has a marginal-profit function given by P'(x) = -2x + 140, where P'(x) is in dollars per unit. This means that the rate of change of total profit with respect to the number of units produced, x, is P'(x). Find the total profit from the production and sale of the first 30 units. O $110 O $6600 $3300 $80
The table shows the daily production level and profit for a business. Use the quadratic function yax+bx+c to determine the number of units that should be produced each day for maximum profit. What is the maximum daily profit? x (Number of Units Produced 30 Daily 50 100 y (Daily Profit) 56970 $8290 1000 Each day its should be produced to have a maximum daly protot
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
Financial Mathematics
Please answer question 4 and question 5
o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where q is hundreds of units for volumes less than 2,000. The demand function for electric cat bushes is described by: P(q)= -q^2-3q+1280, where p represents price in dollars. 1.) What are the company's marginal cost and marginal revenue functions? 2.) Calculate the number of units that produces the maximum profit. What price should the company charge and what is the maximum profit it will...
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 3 - Profit Maximization Consider the case of a firm that produces output x (sold at price p) using a production function x = A*1941-a-Beß, where lis labor, k is capital, and e is energy (for example, oil or electricity). a) What is the interpretation of A? b) Under what condition(s) does the production function exhibit constant returns to scale? Is it homogeneous? Are the marginal products of inputs increasing, constant, or decreasing? c) Set up the profit maximization...
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