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.

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

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.
In 2011, Kevin Jones, Texas Tigers quarterback, agreed to an eight-year, $50 million contract that at the time made him the highest-paid player in professional football history. The contract included a signing bonus of $11 million and called for annual salaries of $2.5 million in 2011, $1.75 million in 2012, $4.15 million in 2013, $4.90 million in 2014, $5.25 million in 2015, $6.2 million in 2016, $6.75 million in 2017, and $7.5 million in 2018. The $11 million signing bonus was prorated over the course of the contract so that an additional $1.375 million was paid each year over the eight-year contract period. With the salary paid at the beginning of each season, what is the worth of his contract at an interest rate of 6%?
Assume a company expects to sell 6 million packages of Pop-Tarts Gone Nutty! in the first year after introduction but expects that 70 percent of those sales will come from buyers who would normally purchase existing Pop-Tart flavors (that is, cannibalized sales). The price for a package of Pop-Tarts Gone Nutty! is $1.30 and its variable cost is $0.65, when the price for a package of original Pop-Tart is $1.10 with variable cost of $0.30. Assuming the sales of regular Pop-Tarts are normally 300 million packages per year and that the company will incur an increase in fixed costs of $450,000 during the first year to launch Gone Nutty! will the new product be profitable for the company? Determine the unit contributions and the loss for every package cannibalized from the original product. (Round to the nearest cent.) Unit contribution original Pop-Tarts $ Pop-Tarts Gone Nutty! Loss for every package cannibalized S
Differentiate the function. g(x) = (x⁹ - 8x)-2 g'(x) = Differentiate the function. 5 f'(s) = f(s) = (2s7 + 1)4 Differentiate the function. 1 g(x) = (2x+5x+1) 3/4 g'(x) = Differentiate the function. dy y = √√√3x² + 6x + 2 dx
Suppose that a function P(x) gives the total profit in dollars on the sale of items. Interpret the meaning of MP * (106) = 840
If the FC = $200, the VC of the 9th unit is $400, and the VC of the 8th unit is $300, then ___: a) The MC curve is above the ATC curve at the 10th unit;b) The MC of the 8th unit is $80;c) The ATC of the 8th unit is $80;d) The AVC of the 8th unit is $75.
The production of a certain good in terms of the amount of labour invested L and the amount of capital invested K, is given by the production function Q = 5 L²/3 K ¹/3 At this moment 512 units of labour and 1 000 units of capital are invested daily. This means that at this moment 3200 units are produced daily. a) The company receives an order for 3200 units. Give an implicit equation for the combinations (L, K) resulting in a production of 3200 units. b) Determine K'(L) for L = 100 using implicit differentiation. Interpret your result in a sentence in the context of the word problem. c) Determine the following expression and interpret your result in a sentence in the context of the word problem: 100 K'(100) K d) Set up the graph of K as a function of L using a logarithmic scale on both axes. Interpret the slope in L = 100.
You manufacture ceramic lawn ornaments. After several months your accountant tells you that your profit P(n) can be modeled by the function P(n)= -0.002n^2+5.2n-1208 where n is number of ornaments sold each month. A) How many ornaments must you make and sell to break even. B) How many ornaments must you make and sell to maximize profit. C) What is the maximum profit. D) How many ornaments must you make and sell in order to earn a profit of $1657.
I need the answer as soon as possible
what is the terminology for this definition below: Year serving as point of comparison for other years