Question

The monthly profit from the sale of a product is given by P = 36x −...

The monthly profit from the sale of a product is given by P = 36x − 0.2x2 − 200 dollars. (a) What level of production maximizes profit? units (b) What is the maximum possible profit?

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The monthly demand function for x units of a product sold by a monopoly is p...
The monthly demand function for x units of a product sold by a monopoly is p = 6,100 − 1/2x2  and its average cost is C = 3,030 + 2x dollars. Production is limited to 100 units. a) Find the profit function, P(x), in dollars. b) Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) c) Find the maximum profit. (Round your answer to the nearest cent.)
The revenue and cost functions for a particular product are given below. The cost and revenue...
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 units . R(x) = −0.2x2 + 146x C(x) = 66x + 7980 (a) How many items must be sold to maximize the revenue? (b) What is the maximum revenue? (c) Find the profit function. P(x) =   −.2x2+212x+7980 (d) How many items must be sold to maximize the profit? (e) What is the maximum profit?...
The monthly demand function for a product sold by a monopoly is p = 2200 −...
The monthly demand function for a product sold by a monopoly is p = 2200 − (1/3)x^2 dollars, and the average cost is C = 1000 + 10x + x^2 dollars. Production is limited to 1000 units and x is in hundreds of units. (a) Find the quantity (in hundreds of units) that will give maximum profit. (b) Find the maximum profit. (Round your answer to the nearest cent.)
1. Suppose you’re given the following: a) the demand equation p for a product, which is...
1. Suppose you’re given the following: a) the demand equation p for a product, which is the price in dollars, and x is the quantity demanded b) C(x), which is the cost function to produce that product c) x ranges from 0 to n units Q. Describe briefly how you would maximize the profit function P(x), the level of production that will yield a maximum profit for this manufacturer.
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.
The weekly demand function for x units of a product sold by only one firm is...
The weekly demand function for x units of a product sold by only one firm is p = 300 − 1 2 x dollars, and the average cost of production and sale is C = 200 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. $  per unit (c) What is the maximum profit?
A​ one-product company finds that its​ profit, P, in millions of​ dollars, is given by the...
A​ one-product company finds that its​ profit, P, in millions of​ dollars, is given by the following equation where a is the amount spent on​ advertising, in millions of​ dollars, and p is the price charged per item of the​ product, in dollars. ​ P(a,p)=4 ap + 50 p - 9 p^2 - one tenth a^2 p - 90 Find the maximum value of P and the values of a and p at which it is attained. The maximum value...
2) Product price (p) and demand (D) are typically related linearly. Company A has performed extensive...
2) Product price (p) and demand (D) are typically related linearly. Company A has performed extensive market research to develop a better relationship. They determined that the selling price of a product, p, is related to the demand for their product, D, in accordance with the following improved relationship P= 92.5 – 0.09 (D^1.1) (in dollars) Demand is given in units per year. In addition, there is a fixed cost of $40,000 per year and a variable cost of $40...
The weekly demand function for x units of a product sold by only one firm is...
The weekly demand function for x units of a product sold by only one firm is p = 400 − 1/2x dollars, and the average cost of production and sale is C = 100 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. $  per unit (c) What is the maximum profit? $ The weekly demand function for x units of a product sold by only one firm is...
An electronic company’s profit from selling x thousands of one product and y thousands of another...
An electronic company’s profit from selling x thousands of one product and y thousands of another is given by the formula in units of thousands of dollars: P(x,y)=−2x2 +5xy−4y2 +7x+7y+200. • Show that the profit P is maximized only at the point (x, y) = (13, 9) and determine the maximum profit. • Using an appropriate differential determine approximately the profit lost if x is only 12.7 and y only 8.6.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT