Suppose that a salesperson has the following contract relating monthly sales, S, to her monthly pay, P. She is given a basic monthly amount of P30,000, regardless of her sales level. On the first P500,000 of monthly sales, she earns a 10% commission. On any additional sales, she earns a commission of 20%. a. Find and graph the function relating her pay to sales, P(S),S > 0 b. Determine the point of non-differentiability of P(S) and explain why this is so.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Suppose that a salesperson has the following contract relating monthly sales, S, to her monthly
pay, P. She is given a basic monthly amount of P30,000, regardless of her sales level. On the first
P500,000 of monthly sales, she earns a 10% commission. On any additional sales, she earns a
commission of 20%.
Find and graph the function relating her pay to sales, P(S),S > 0
b. Determine the point of non-differentiability of P(S) and explain why this is so.
а.
Transcribed Image Text:Suppose that a salesperson has the following contract relating monthly sales, S, to her monthly pay, P. She is given a basic monthly amount of P30,000, regardless of her sales level. On the first P500,000 of monthly sales, she earns a 10% commission. On any additional sales, she earns a commission of 20%. Find and graph the function relating her pay to sales, P(S),S > 0 b. Determine the point of non-differentiability of P(S) and explain why this is so. а.
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