Can you guys help me figure out how to get the answers for these

Step-by-step explanation:

As you found in parts a and b, p = 840 − 2x, and R(x) = -2x² + 840x.

For part c, profit = revenue − cost.

P(x) = R(x) − C(x)

P(x) = -2x² + 840x − (2x² + 15x + 1500)

P(x) = -2x² + 840x − 2x² − 15x − 1500

P(x) = -4x² + 825x − 1500

The maximum profit is at the vertex of the parabola.

x = -b / (2a)

x = -825 / (2 × -4)

x = 103.125

Or, we can use calculus:

P'(x) = -8x + 825

0 = -8x + 825

x = 103.125

Rounding, the manufacturer should produce 103 refrigerators each week.

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step-by-step explanation:

because i said it is

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: