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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
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Solution
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
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