Mathematics: Factor the following: 18X - 6 6 (3x - 1) 18 (x - 1) 9 (2x - 4) I need the answer NOW

Factor the following: 18X - 6 6 (3x - 1) 18 (x - id18663118111602515, bvargas786p7aa8y

angelvences128

17.01.2021

Maximum revenue = $8000

The price that will guarantee the maximum revenue is $40

Step-by-step explanation:

Given that:

Price of product = $35

Total sale of items = 225

For every dollar increase in the price, the number of items sold will decrease by 5.

The total cost of item sold = 225 ×35

The total cost of item sold = 7875

If c should be the dollar unit in price increment;

Therefore; the cost function is : [35+c(1)][225-5(c)]

For maximum revenue;

$\dfrac{d}{dc}(cost \ function) =0$

$\dfrac{d}{dc}[[35+c(1)][225-5(c)]]=0$

0+225-35× 5 -10c = 0

225 - 175 =10c

50 = 10c

c = 50/10

c = 5

Maximum revenue = [35+c(1)][225-5(c)]

Maximum revenue = [35+5(1)][225-5(5)]

Maximum revenue = (35 + 5)(225-25)

Maximum revenue = (40 )(200)

Maximum revenue = $8000

The price that will guarantee the maximum revenue is :

=(35 +c)

= 35 + 5

= $40

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