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 $16,400 plus a commission of 8% of total yearly sales. Pay scale 2: Pay the sales rep a base yearly salary of $19,000 plus a commission of 6% 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,(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? (c) On the same screen, plot the graphs of the functions you made in part (a). (Let T be total yearly earnings and s the total yearly sales. Select the correct graph.) 40000 40000 30000 30000 T20000 T20000 10000 10000 OS0000 100000 1500o0 200000 250000 300000 50000 100000 150000 200000 250000 300000 40000 40000 30000 30000 120000 T20000 10000 10000 50000 100000 15000 200000 a50000 300000 0 o000 100000 1000o 200000 20o00 300000
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 $16,400 plus a commission of 8% of total yearly sales. Pay scale 2: Pay the sales rep a base yearly salary of $19,000 plus a commission of 6% 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,(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? (c) On the same screen, plot the graphs of the functions you made in part (a). (Let T be total yearly earnings and s the total yearly sales. Select the correct graph.) 40000 40000 30000 30000 T20000 T20000 10000 10000 OS0000 100000 1500o0 200000 250000 300000 50000 100000 150000 200000 250000 300000 40000 40000 30000 30000 120000 T20000 10000 10000 50000 100000 15000 200000 a50000 300000 0 o000 100000 1000o 200000 20o00 300000
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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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 $16,400 plus a commission of 8% of total yearly sales.
Pay scale 2: Pay the sales rep a base yearly salary of $19,000 plus a commission of 6% 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 T2(s) =
%3D
(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?
(c) On the same screen, plot the graphs of the functions you made in part (a). (Let T be total yearly earnings and s the total yearly sales. Select the correct graph.)
40000
40000
30000
30000
T20000
T20000
10000
10000
0.
50000 100000 150000 200000 250000 300000
50000 100000 150000 200000 250000 300000
40000
40000
30000
30000
T20000
T20000
10000
10000
50000 100000 150000 200000 250000 300000
50000 100000 150000 200000 250000 300000
(d) If you were a sales rep negotiating for the new position, under what conditions would you prefer pay scale 1?
when you expect total sales to exceed $18,571
when you expect total sales to be below $18,571
when you expect total sales to exceed $130,000
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