A small business is considering hiring a new sales representative (sales rep) to market its product in a nearby city. Two pay scales are under consideration. Pay scale 1: Pay the sales rep a base yearly salary of $17,000 plus a commission of 7% of total yearly sales. Pay scale 2: Pay the sales rep a base yearly salary of $20,000 plus a commission of 5% of total yearly sales. (a) For each of the pay scales above, use a formula to express the total yeariy earnings for the sales rep as a function of total yearly sales s. (Give percents in decimal form.) pay scale 1 T,(5) = pay scale 2 T,(s) = (b) What amount of total yearly sales would result in the same total yearly earnings for the sales rep no matter which of the two pay scales is used?
A small business is considering hiring a new sales representative (sales rep) to market its product in a nearby city. Two pay scales are under consideration. Pay scale 1: Pay the sales rep a base yearly salary of $17,000 plus a commission of 7% of total yearly sales. Pay scale 2: Pay the sales rep a base yearly salary of $20,000 plus a commission of 5% of total yearly sales. (a) For each of the pay scales above, use a formula to express the total yeariy earnings for the sales rep as a function of total yearly sales s. (Give percents in decimal form.) pay scale 1 T,(5) = pay scale 2 T,(s) = (b) What amount of total yearly sales would result in the same total yearly earnings for the sales rep no matter which of the two pay scales is used?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:A small business is considering hiring a new sales representative (sales rep) to market its product in a nearby city. Two pay scales are under consideration.
Pay scale 1: Pay the sales rep a base yearly salary of $17,000 plus a commission of 7% of total yearly sales.
Pay scale 2: Pay the sales rep a base yearly salary of $20,000 plus a commission of 5% of total yearly sales.
(a) For each of the pay scales above, use a formula to express the total yearly earnings for the sales rep as a function of total yearly sales s. (Give percents in
decimal form.)
pay scale 1 T, (s) =
pay scale 2 T;(5) =
(b) What amount of total yearly sales would result in the same total yearly earnings for the sales rep no matter which of the two pay scales is used?
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