2. A business printing T-shirts has cost function C(x) = 3x + 100 where x is...

 

 

Transcribed Image Text:

2. A business printing T-shirts has cost function C(x) = 3x + 100 where x is the number of T-shirts produced. They sell the T-shirts at a price of $28 each. (a) Write the revenue function y = R(x) that gives the total revenue that the company obtains by selling x T-shirts. (b) Write the profit function y = P(x) that gives the profit obtained by selling & T-shirts. (Profit = Revenue - Cost). (c) Find the break-even quantity, that is, the x-value (number of T- shirts) for which revenue is equal to cost. (Equivalently, this is the x-value such that P(x) = 0, where profit is $0.). (d) What is the profit the company makes by selling 12 T-shirts? 2. A business printing T-shirts has cost function C(x) = 3x + 100 where x is the number of T-shirts produced. They sell the T-shirts at a price of $28 each. (a) Write the revenue function y = R(x) that gives the total revenue that the company obtains by selling x T-shirts. (b) Write the profit function y = P(x) that gives the profit obtained by selling & T-shirts. (Profit = Revenue - Cost). (c) Find the break-even quantity, that is, the x-value (number of T- shirts) for which revenue is equal to cost. (Equivalently, this is the x-value such that P(x) = 0, where profit is $0.). (d) What is the profit the company makes by selling 12 T-shirts?