Question

A salesperson whose annual earnings can be represented by the function A(x) = 30,000 + 0.04x, where x is the rupee value of the merchandise he sells. His son is also in sales and his earnings are represented by the function S(x) = 25,000 + 0.05x. Find (A + S)(x) and determine the total family income if they each sell Rupees 1,50,00,000 worth of merchandise

Answer 1

Given A(x) = 30,000 + 0.04x

S(x) = 25,000 + 0.05x

A(x) + S(x) = 30,000 + 0.04x + 25,000 + 0.05x

(A + S)(x) = 55,000 + 0.09x

Given x = 1,50,00,000

Then (A + S)(x) = 55000 + 0.09 × 1,50,00,000

= 55000 + 13,50,000

∴ Total family income = Rs.14,05,000