Suppose a company has fixed costs of $36,400 and variable cost per unit of 3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1772 - 2x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
* = 2651,7
х
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
$ 1.177,494
(c) Form the profit function P(x) from the cost and revenue functions.
2 2
5315
P(X) - +
31
Ex-36844 x
3
2
Find maximum profit.
$1329
X
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
$ 1,140,207
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10 you would take 50/ .2

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form