# MATH PRECAL HELP

Business. The profit, in thousands of dollars, for a product is p(X)=-x^2+140x-4700 where x is the production level in hundreds of units. Find the production level that maximizes the profit. Find the maximum profit.

The maximum profit of \$ _____ is achieved when ______ units are produced.

1. 0
2. 4
1. the max is on the axis of symmetry
... x = -b / 2a = -140 / (2 * -1)

plug the max production into p(X) to find the max profit

1. 0
posted by Scott

## Similar Questions

A company that manufactures bicycles estimates that the profit P (in dollars) for selling a particular model is given by the equation shown below, where x is the advertising expense (in tens of thousands of dollars). P = –35x3 +
2. ### Calculus

The profit function for a computer company is given by P(x)=−x^2+36x−26 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be
3. ### Algebra

83. Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is \$6.20, it cost \$6.20 to
4. ### Algebra

Annual profit in thousands of dollars is given by the function, P(x) = 12x-100, where x is the number of items sold in thousands x ¡Ý 10. Will this profit function have a maximum if so what is it?
5. ### math

the profits of Mr/ Lucky's company can be represented by the equation y=-3x^2+18x-4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the
6. ### Math

A manufacture of a certain commodity has estimated that her profit in thousands of dollars is given by the expression -6x^2+30x-10 where x (in thousands) is the number of units produced. What production range will enable the
7. ### math

a company makes and sells sailboats. The company's cost function in thousands of dollars is C(x)=2x+20, and the revenue function in thousands of dollars is R(x)=4x, where x is the number of sailboats. Find and simplify the profit
8. ### Math

the Ruby Snow Company makes custom snowboards. the company's profit can be modelled with the relation y=6x^2+42x-60,where x is the number snowboards sold(in thousands) and y is the profit (in hundreds of thousands of dollars) How
9. ### Math

the Ruby Snow Company makes custom snowboards. the company's profit can be modelled with the relation y=6x^2+42x-60,where x is the number snowboards sold(in thousands) and y is the profit (in hundreds of thousands of dollars) How
10. ### algebra

Annual profit in thousands of dollars is given by the function,p(x)=200square x-3 +10,000,where x is the number of items sold in thousands, x less than 3. describe the meaning of the numbers 3 and 10,000 in the formula. find the

More Similar Questions