Question

1. The profit (in dollars) form the sale of x lawn movers is P(x)= 60x-0.06x2-350. (A)...

1. The profit (in dollars) form the sale of x lawn movers is P(x)= 60x-0.06x2-350. (A) Find the average profit per mower if 30 mowers are produced.(Round to the nearest cent as needed) (B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. (C) Use the results form parts(A) and (B) to estimate the average profit per mower if 31 mowers are produced.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The profit​ (in dollars) from the sale of x lawn mowers is ​P(x)equals=80 x minus 0.08...
The profit​ (in dollars) from the sale of x lawn mowers is ​P(x)equals=80 x minus 0.08 x squared minus 65080x−0.08x2−650. ​(A) Find the average profit per mower if 30 mowers are produced. ​(B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. ​(C) Use the results from parts​ (A) and​ (B) to estimate the average profit per mower if 31 mowers are produced.
The total profit (in dollars) from the sale of x x answering machines is P(x)=20x−0.5x2−280. P...
The total profit (in dollars) from the sale of x x answering machines is P(x)=20x−0.5x2−280. P ( x ) = 20 x − 0.5 x 2 − 280. (A) Find the exact profit from the sale of the 26th machine. Exact Profit on 26th machine = (B) Use the marginal profit to approximate the profit from the sale of the 26th machine. Approx. profit on 26th machine =
The total profit(in $) from the sale of x flatscreen television sets is P(x) = 20x...
The total profit(in $) from the sale of x flatscreen television sets is P(x) = 20x - 0.02x(square) -320 a) Find the average profit per television if 40 sets are sold. b) Find the Marginal Profit function. c) Find the estimated profits from selling the 41st set. d) Find the exact profits from selling the 41st set.
The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand...
The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand pillows is approximated by: P(x) = -x^3 + 9x^2 + 165x - 200 , x ≥ 5 Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit.
Write a word story for this problem If total revenue received from the sale of x...
Write a word story for this problem If total revenue received from the sale of x items is given by R(x) =10ln(3x+1) while the total cost to produce x items is C(X) =X/3 find the following. ​(a) The marginal revenue ​(b) The profit function​ P(x) ​(c) The marginal profit when X=30 ​(d) Interpret the results of part​ (c).
1. In this problem, p and C are in dollars and x is the number of...
1. In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost function C = 1000 + 216x + 0x2 for its product, which has demand function p = 648 ? 3x ? 2x2. Find the consumer's surplus at the point where the monopoly has maximum profit. (Round your answer to the nearest cent.) 2. In this problem, p is in dollars and x is the number of units....
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that...
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) = 48x and that the total cost function is given by C(x) = 70 + 29x + 0.1x2. (a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = Explain what it predicts. At x = 100, MP(100) predicts that cost will increase by...
A construction company has an expenditure rate of E(x) = e^0.12x dollars per day on a...
A construction company has an expenditure rate of E(x) = e^0.12x dollars per day on a particular paving job and an income rate of I(x) = 115.7 - e^0.12x dollars per day on the same job, where x is the number of days from the start of the job. The company's profit on that job will equal total income less total expenditures. Profit will be maximized if the job ends at the optimum time, which is the point where the...
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that...
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is C(x) = 2200 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. (b) Find the marginal profit function (c) Find MP at x = 500. Explain what it predicts. The total profit will ------ by approximately $------- on the...
Cost, revenue, and profit are in dollars and x is the number of units. A firm...
Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 3x + 30, that its marginal revenue is MR = 70 − 5x, and that the cost of production of 60 units is $7,380. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a of...