C(x) is the total cost of producing x units of a particular commodity. Assume C(x) is...
1) Solve the problem. 1) The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 280(x - 10) dollars per year. By how much does the machine depreciate during the fourth year? A) A decrease of $1540 B) A decrease of $1820 C) A decrease of $8960 D) A decrease of $1680 The slope...
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...
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...
15) The cost of producing x units of a commodity per week is C(x) = 0.2x3 - 18x2 + 32x +200 Find all values of x where C"(x) - 0. How are these levels of production related to the graph of the marginal cost? A) X= 3. It corresponds to a maximum on the graph of C'(x). B) x - 30. It corresponds to a point of inflection on the graph of C'(x). C)x= 30. It corresponds to a minimum...
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...
when no more than 110 units are produced, the cost of producing x units is given byC(x)=.2x^3 - 25x^2 + 1531x + 25,000How many units should be produced in order to have the lowest possible average cost?
The cost of producing x units of a commodity is given by. TC(x)=100+40x+2x^2 Derive the following functions: FC = VC = AFC = AVC = ATC = Find TC(x+1)-TC(x), and explain in words what this means.
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?
Suppose that the total cost in dollars of manufacturing q units is C(q) = 3 + + 500. Let A be the cost producing 41 unit we find by using marginal ansalysis and B be the actual cost producing 41". Then A - B is: Select one: a. O o b.-3 OC. 3 Od. 6 e. - 6
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...