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

A(x) = 30, 000 + 0.04x, where x is merchandise rupee value 

S(x) = 25000 + 0.05 x 

(A + S) (x) = A(x) + S(x) 

= 30000 + 0.04x + 25000 + 0.05 x 

= 55000 + 0.09x 

(A + S) (x) = 55000+ 0.09x

They each sell x = 1,50,00,000 worth of merchandise 

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

= 55000 + 13,50,000 

∴ Total income of family = Rs 14,05,000