Gymnast Clothing manufactures expensive hockey jerseys for s

Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 250. Its cost (in dollars) for a run of x hockey jerseys is C(x) = 2500 + 10x + 0.2x^2 (0 x 250) Gymnast Clothing sells the jerseys at S105 each. Find the revenue function. Find the profit function. P(x) = How many should Gymnast Clothing manufacture to make a profit? [See Example 2.] (Round your answer up to the nearest whole number.)

Solution

Ans: The benefit capacity mathematical statement is comprised of two essential capacities: the income capacity and the cost capacity. On the off chance that x speaks to the quantity of units sold, we will name these two capacities as takes after:

R(x) = the income capacity;

C(x) = the cost capacity. In this manner, our benefit capacity mathematical statement will be as per the following: P(x) = R(x) - C(x).

C(x) = 2500 +10x + 0.2x²

here cost is x = 250

C(x) = 2500 + 10(250) + 0.2 (250)²

   = 2500 + 2500 + 0.2 * 62500

= 5000 + 12500

C(x) = 17500

R(x) = Revenu function

R(x) = (Price per unit ) * ( number of units produced or Sold )

= 105 * 250 =26250

Profit function : A benefit capacity is a capacity that spotlights on business applications. The basic role for a business is to offer an item or administration keeping in mind the end goal to make a benefit, which is the income an organization gets for offering an item or administration less the expense for making an item or administration .

P(x) = R(x) - C(x)

= 26250 - 17500 = 8750

hence P (x) = 8750 ( in dollars )