Suppose you are given the revenue and cost functions from the production of a certain commodity. If the marginal revenue function is negative at x = a, and the marginal cost function is positive at x = a, then the marginal profit function at x = a would be:
A) Positive
B) Negative
C) 0
Given that,
Marginal revenue function is negative at x=a
And marginal cost function is positive at x=a
Therefore marginal profit function is zero as per my knowledge
Suppose you are given the revenue and cost functions from the production of a certain commodity....
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?
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...
The graphs of the revenue and cost functions for the production and sale of z units are shown below. The cost function is the straight line, and the revenue function is the curve. 77000 70000 63000 56000 49000 42000 35000 28000 21000 14000 0 0 100200 300 400 500 600 700 800 900 1000 1100 1200 a. Use the graph to estimate the production level z that maximizes profit. Use only values that appear on the horizontal axis for your...
The following table gives data on output and total cost of production of a
commodity in the short run. (See Example 7.4.)
Output Total cost, $
1 193
2 226
3 240
4 244
5 257
6 260
7 274
8 297
9 350
10 420
To test whether the preceding data suggest the U-shaped average and
marginal cost curves typically encountered in the short run, one can use
the following model:
Yi = β1 + β2Xi + β3X2
i...
36. Revenue Suppose that the revenue function for a certain product is given by R(x) = 15(2x + 1)-1 + 30x – 15 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue when 2000 units are sold. (b) How is revenue changing when 2000 units are sold?
The total revenue function for a certain product is given by
The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
13. For the given cost and revenue functions, below, find the value of x for which marginal profit 2 is zero: C(x) = 2x, R(x)=6x - 1,000 A)x= 3,000 B)x=4,000 C)x= -2,000 D)x=2,000 E)x=1,000
The total cost for producing 1000 units of a commodity is $3.3 million, and the revenue generated by the sale of 1000 units is $5.1 million. (a) What is the profit on 1000 units of the commodity? P(1000) = $ million (b) Assuming C(q) represents total cost and R(q) represents revenue for the production and sale of q units of a commodity, write an expression for profit
The production function for a commodity is given by Q=43x4 y , with -1<a<0 and -1<B<0 as assumptions. O is output, x is the first factor input, and y is the second factor input. Find the marginal product associated with each factor input (assuming the other factor input does not change). Is marginal product increasing or decreasing with increased usage of the factor in question?