The cost, in dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x2....

The cost, in dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x². Find the rate at which average cost is changing when 256 belts have been produced.

When 256 belts have been produced, the average cost is changing at _____, dollars per belt or belt per dollars(choose one please) for each additonal belt.

Expert Solution

milcah answered 2 years ago

The cost of producing x units of a product is given by C(x)=700 + 90 x...

The cost of producing x units of a product is given by C(x)=700 + 90 x - 90 ln(x), where x>=1 Find the minimum average cost

1) The marginal cost function associated with producing x widgets is given by C'(x)= -0.8x+75 where...

1) The marginal cost function associated with producing x widgets is given by C'(x)= -0.8x+75 where C'(x) is measured in dollars/unit and x denotes the number of widgets. Find the total cost C(x) incurred from producing the 11th through 05th units of the day. The options are: 2040 2030 2020 2000 2050 a) The Math Club has determined that in order to successfully tutor x Math 2 students in preparation for the second homework, the price per student p(x) in...

The cost of producing x records is C(x) = 20x + 450. If the revenue generated...

The cost of producing x records is C(x) = 20x + 450. If the revenue generated from sales is R(x) = 35x, then determine the break-even value. a.1150 units b. 30 units c. 20.75 units d. 8 units

A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x...

A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 900 + 3x + 0.0003x2. Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 5 − 0.0002x. If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint: The revenue...

A linear cost function is C(x) = 7x + 800. (Assume C is measured in dollars.)...

A linear cost function is C(x) = 7x + 800. (Assume C is measured in dollars.) (a) What are the slope and the C-intercept? slope C-intercept (b) What is the marginal cost MC ? MC = What does the marginal cost mean? If production is increased by this many units, the cost decreases by $1.Each additional unit produced reduces the cost by this much (in dollars). If production is increased by this many units, the cost increases by $1.Each additional unit...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sales of x items. If R(x) = 6x and C(x) = 0.004x^2+2.7x+70, find each of the following: a) P(x) = b) R(150), C(150), and P(150) c)R'(x), C'(x), P'(x) d) R'(150), C'(150), and P'(150)

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) = 0.005x^2 + 2.5x + 40, find each of the following. a) P(x) b) R(150), C(150), and P(150) c) R'(x), C'(x), and P'(x) d) R'(150), C'(150), and P'(150)

1.) The cost of producing x units of a product is modeled by C(x) = 180+90x-260lnx...

1.) The cost of producing x units of a product is modeled by C(x) = 180+90x-260lnx where x is greater than and equal to 1 a. Find the average cost function b. Find the minimum average cost 2.) A fungus is increasing at a continuous rate of 5.2% in accordance with the exponential growth model. Find its double time

If the total cost function for a product is C(x) = 8(x + 5)^3 dollars, where...

If the total cost function for a product is C(x) = 8(x + 5)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost? x = hundred units Find the minimum average cost per hundred units. $

The Supply (Private Marginal Cost) of producing product X is given by Qs = 10P and...

The Supply (Private Marginal Cost) of producing product X is given by Qs = 10P and the demand (Social Marginal Benefit/Private Marginal Benefit) is given by Qd = 2400 - 20P. Further, it has been determined that MEC = 30. Show enough work so that I can follow it. a. Find the market (unregulated) price and quantity. b. Determine the consumer, producer, and total surplus at the market equilibrium. c. Determine the social optimum quantity d. Determine the dead-weight loss...

Question

The cost, in dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x2....

Solutions

Expert Solution

Related Solutions

The cost of producing x units of a product is given by C(x)=700 + 90 x...

1) The marginal cost function associated with producing x widgets is given by C'(x)= -0.8x+75 where...

The cost of producing x records is C(x) = 20x + 450. If the revenue generated...

A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x...

A linear cost function is C(x) = 7x + 800. (Assume C is measured in dollars.)...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

1.) The cost of producing x units of a product is modeled by C(x) = 180+90x-260lnx...

If the total cost function for a product is C(x) = 8(x + 5)^3 dollars, where...

The Supply (Private Marginal Cost) of producing product X is given by Qs = 10P and...

Question

The​ cost, in​ dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x2....

Solutions

Expert Solution

Related Solutions

The cost, in dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x2....