15) The cost of producing x units of a commodity per week is C(x) = 0.2x3...
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...
2.If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 24,000 + 290x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (c) Find...
3. (2 points) The marginal cost of producing q units of a certain commodity is C'(q) = 1.592 – 6q+7 dollars per unit. How much does it cost to produce 20 units of commodity, if if the total cost of producing 6 units is $100?
A manufacturer estimates that the marginal cost of producing a units of a certain commodity is C'(q) =9q2 +62 - 37 dollars per unit. If the cost of producing 7 units is $5,000, what is the cost of producing 20 units? The cost of producing 20 units is $
3. The total cost for producing x items is given by C(x) = 3x2 + 15x + 75. a. 8 pts How many items must be produced to minimize average cost? Show all work, including verifying that the value you found corresponds to a minimum. Answers from a graph or calculator will not receive full credit. b. 2 pts What is the minumum average cost (include units)? c. 6 pts What is the marginal cost at the production level you...
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
C(x) is the total cost of producing x units of a particular commodity. Assume C(x) is in dollars. Use marginal cost to estimate the cost of producing the 4 st unit. What is the actual and estimated cost of producing the 4 st unit? 6) C(x) = 2x2 + 3x + 62 6) A) estimated cost = $11.00; B) estimated cost = $11.00; actual cost = $10.80 actual cost - $11.20 C) estimated cost = $10.80; D) estimated cost-$11.20; actual...
NUMBER 26 26. The cost of producing x units of a commodity is given by. TCU) = 100 + 402 – 2x a. Derive the following functions: FC - VC = AFC= Avc= ATC= b. Find TC(101) - TC(100) c. Find TC(x + 1) - TC(x), and explain in words what this means, 27. Consider the following inverse demand function: P = 200 - 40. Graph out the total revenue function in excel 28 Find the inverse demand function and...
1. Solve the following a. Sketch the graph of f (x) = 3x4 – x3 showing all the following key features i. Relative maximums and minimums ii. Intervals of increase and decrease iii. Points of inflection b. A business owner estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars where C(x) = 2x3 – 18x2 + 350x. At what level of production will the average cost A(x) = CVPbe minimized?
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...