Question

Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$ (Type an integer or a decimal. Round to the nearest cent.) (c) Interpret P(21). Choose the correct answer below. O A. When 21 hundred cell phones are sold, the cost is given by P(21). OB. When 21 hundred cell phones are sold, the revenue is given by P(21). O C. When 21 hundred cell phones are sold, the profit is given by P(21).

Answer 1

R (X) = -1.3x² + 320x ccx) = 0.03x² – 3x2 + 75x4550 a). PCx) = R(X) - CCX) & -1.3x² + 320x-[0.03 x² – 3x² 4 7 5x495 -1.3x2 + 320x -0.03x² + 3x²_753-550 -0.03x² -1.3x² + 3x43201 -75%-550 -0.03x² + 1.7x + 2450-550 --(1) P(X) 43- -0.03 (21)² +1.7(21) 2 + 245 (21) - 550 - 0034 bP (21) -0.03 (9261) + 1.3 (441) + 245(2)-550 - 277.83 + 749.7 +5145 - 550 Plu) = $ 5066.87 Interpret Pro when a hundred cell phones are sold the Prosit is given by P(21) She then profit function is given by P(x). option 'C' - Correct answer.