Question: Suppose that the total revenue function is given by R (x) = 46x and that the total cost function is given by C(x) = 100

Suppose that the total revenue function is given by
R (x) = 46x
and that the total cost function is given by
C(x) = 100 + 30x + 1/10 x2
(a) Find P(100).
(b) Find the marginal profit function.
(c) Find M̅P̅ at x = 100 and explain what it predicts.
(d) Find P(101) - P(100) and explain what this value represents.

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a P100 1600 100 1000 500 b Px 16 15x c P1... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1386-M-C-L-A-D(3955).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Suppose that the total revenue function for a product is R(x) = 50x and that the total cost function is C(x) = 1900 + 30x + 0.01x2. (a) Find the profit from the production and sale of 500 units. (b)...

Suppose that the total revenue function for a commodity is R = 36x - 0.01x2. (a) Find R(100) and tell what it represents. (b) Find the marginal revenue function. (c) Find the marginal revenue at x =...

Suppose that the total revenue function for a commodity is R(x) = 25x - 0.05x2. (a) Find R(50) and tell what it represents. (b) Find the marginal revenue function. (c) Find the marginal revenue at x...

Hi, kindly help me to answer below questions 3 and 5. Thanks! QUESTION 3 a) Find derivatives of the following functions i. Find ifs = (7+9)(#-9). (2.5 marks) ii. Find - if R(x) = 70x' +71x 2x + 2...

Listen A manufacturer of tablets has total revenue given by the function R x 70x and has total cost given by C x 12 500 20x where x is the number of laptops produced and sold How many laptops must be...

Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 64 g of fat. Tara has 1 scoop of Cherry and 2...

Jimmy decides to mow lawns to earn money. The initial cost of his electric lawnmower is $250. Electricity and maintenance costs are $5 per lawn. Complete parts (a) through (c). a ) Formulate a...

Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function is given by R(x)=47x and that the total cost function is given by C(x)=90+28x+0.1x2 (a)...

1. [-/3 Points] DETAILS HARMATHAP12 10.3.007.MI. MY NOTES Consider the following total revenue function for a hammer. R = 56x - 0.01x2 (a) The sale of how many hammers, x, will maximize the total...

1 (1 point) Solve the problem. At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by and the total cost function is given by , where x...

A code of ethics and professional conduct outlines the ethical principles that govern decisions and behavior at a company or organization. They give general outlines of how employees should behave,...

Verify that the geometric construction of Fig. 17.5 gives the correct HMO energies of the cyclic polyene CnHn. In figure 17.5 C&H6 C5H5 C4H4

Solve the initial - value problem y ' ' - 2 y ' = x + 2 e x , y ( 0 ) = 1 8 , y ' ( 0 ) = 4 7 4 . Answer: y ( x ) =

1. Suppose that two countries, Australia and Venezuela, can produce only two goods, cotton and pineapples. The table below shows the amount of labour required in each country to produce one unit of...

Consider the no-intercept model Y = Bx + E with the Es NID (0, 2). The estimate of 2 is s2 = (yi Bxi) 2 / (n 1) and v(B) = 2 / = 1x2/i (a) Devise a test statistic for H0: B = 0 versus H1: B...

The type II error probability for the t-test for H0: B1 = B1, 0 can be computed in a similar manner to the t-tests of Chapter 9. If the true value of B1 is B1, the value =|B1, 0 B1/((n 1)/Sxx is...

Refer to the data in Exercise 11-1 on y = intrinsic permeability of concrete and x = compressive strength. Find a 95% confidence interval on each of the following: (a) Slope (b) Intercept (c) Mean...

What is the expected return on an equally weighted portfolio of these three stocks? What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? State of Economy...

Here is the ORIGINAL data of the Sporthotel problem: 1. Projected outflows First year (Purchase Right, Land, and Permits) $1,000,000 Second Year (Construct building shell $2,000,000 Third Year:...

Question 3: Find the net present value, interpret whether the NPV suggests you should accept or reject the project, find the payback period, find the discounted payback period, find the profitability...