IV. A small business determined that the price-demand and cost functions for producing and selling x notebooks are given by p(x) = 70 -0.25x and C(x) = 0.5x² + 10x +800, respectively, where p and C are in pesos. 1. Find the marginal profit when 20 notebooks are sold. 2. At what production level is the average cost per notebook at a minimum?

Q: Assume that a firm’s total cost is given by C = 20 + 0.5q, where q is the quantity of the output…

A: Given: The firm's total cost is given by C=20+0.5q, where q is the quantity of the output produced…

Q: (our farmer's market stand prices pies at $9.25 per pie. You spend $145 pe supplies and labor, plus…

A: Here it is given that, Farmer's market stand price =  $9.25 per pie.  Spend in supplies and labor =…

Q: 9) A consulting firm, using statistical methods, provided a veterinary clinic with the cost equation…

A: a.The average cost function can be obtained as follows.

Q: Suppose the daily cost, in dollars, of producing x television is C(x)=.003x3+.1x2+71x+540 and…

A:

Q: 6. The cost function for a paper towel plant is C(x) = 160x +750,000. %3D a. What are the fixed…

A: The cost function for a paper towel plant is  C(x) = 160x + 750000

Q: The total daily cost (in dollars) of producing x park benches is given by C(x) = 2250 + 10x +0.1x²…

A: I have explained everything with in the solution .please go through that.

Q: 100. Labor. The percentage of women aged 21-34 in the U.S. civilian labor force can be modeled by…

A: Given- fx=-0.0135x2+0.265x+74.6, where xis the number since 1992. To Find- The maximum percentage of…

Q: -; A price p (in dollars) and demand x for a product are related by 2x2 – 12xp + 50p² = 6400. If the…

A: Here I am attaching image so that you understand each and every step.

Q: 8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled…

A: Solution

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

A:

Q: A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of…

A:

Q: A factory produces ceramic soap dishes. Suppose the daily cost (in dollars) to run the factory on a…

A:

Q: 3.) The revenue equation (in billions of dollars) for corn production in the United States is…

A:

Q: Let F(s) be the Laplace transform of f(t) = sin(t) Find the inverse Laplace transform of Y(s)=…

A: Topic- inverse Laplace transform