Problem A doll company can make a doll at a cost of P35 per doll. If the selling of the doll is x pesos and the number of dolls sold per month is 500 - x,

a. Express the monthly profit in pesos as a function of x.
b. If the selling price of the doll is P85, determine the monthly profit. Use the result in letter a.

a. Monthly profit is

(x-35)(500-x)

b. given x = 85, the profit is 20,750 pesos

Step-by-step explanation:

a. The monthly profit is the selling price - cost price

The cost price for the number of dolls made will be ;

35(500-x)

The value of the amount we are selling all is;

x(500-x)

So the monthly profit would be;

x(500-x)-35(500-x)

= (x-35)(500-x)

b. Given the selling price we 85 , we want to calculate the monthly profit

From

what we have, x will be 85

Substituting in the equation we have for A above, we have that;

(85-35)(500-85)

= 50* 415 = 20,750 pesos

step-by-step explanation: