Workers at Factory A receive a monthly salary of 2140 dollars and have a quota requiring they make 55 basketballs each month. If a worker makes more than 55 basketballs in a month they receive a bonus of 4 dollars for each additional basketball made. If a worker falls short of their quota in a month, a deduction of 4 is made from the worker's salary for each basketball short of the quota. a) Let z represent the number of basketballs made each month by Theodore, who works at Factory A. Write down a function f(x) which calculates Theodore's salary each month depending on z. b) If Theodore makes 2400 dollars in January, how many basketballs did they make that month? c) Workers at Factory B (which also produces basketballs) receive a flat monthly salary of 1700 dollars each month, plus a bonus of 5 dollars per basketball made by a worker. Let y represent the number of basketballs made each month by Igor, who works at Factory B. Write down a function g(y) which calculates Igor's salary each month depending on y.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Workers at Factory A receive a monthly salary of 2140 dollars and have a quota requiring they make 55 basketballs each month. If a worker makes more
than 55 basketballs in a month they receive a bonus of 4 dollars for each additional basketball made. If a worker falls short of their quota in a month, a
deduction of 4 is made from the worker's salary for each basketball short of the quota.
a) Let z represent the number of basketballs made each month by Theodore, who works at Factory A. Write down a function f(x) which calculates
Theodore's salary each month depending on z.
b) If Theodore makes 2400 dollars in January, how many basketballs did they make that month?
c) Workers at Factory B (which also produces basketballs) receive a flat monthly salary of 1700 dollars each month, plus a bonus of 5 dollars per
basketball made by a worker. Let y represent the number of basketballs made each month by Igor, who works at Factory B. Write down a function g(y)
which calculates Igor's salary each month depending on y.
Transcribed Image Text:Workers at Factory A receive a monthly salary of 2140 dollars and have a quota requiring they make 55 basketballs each month. If a worker makes more than 55 basketballs in a month they receive a bonus of 4 dollars for each additional basketball made. If a worker falls short of their quota in a month, a deduction of 4 is made from the worker's salary for each basketball short of the quota. a) Let z represent the number of basketballs made each month by Theodore, who works at Factory A. Write down a function f(x) which calculates Theodore's salary each month depending on z. b) If Theodore makes 2400 dollars in January, how many basketballs did they make that month? c) Workers at Factory B (which also produces basketballs) receive a flat monthly salary of 1700 dollars each month, plus a bonus of 5 dollars per basketball made by a worker. Let y represent the number of basketballs made each month by Igor, who works at Factory B. Write down a function g(y) which calculates Igor's salary each month depending on y.
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