BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.5, Problem 117E
To determine

The number of ovens must be manufactured in a given week to generate a profit of $1250.

Expert Solution

Answer to Problem 117E

The number of ovens must be manufactured in a given week to generate a profit of $1250 is 50_.

Explanation of Solution

Given:

The profit P (in dollars) generated by producing x microwave ovens per week is given by the formula P=110x(300x) where, P is the profit and x is the number of microwave ovens manufactured.

The number of microwave ovens manufactured in a week is 0x200.

Calculation:

Substitute 1250 for P in P=110x(300x) to obtain the number of ovens must be manufactured in a given week to generate a profit of $1250.

1250=110x(300x)12500=300xx2x2300x+12500=0(x250)(x50)=0[Factor]

Simplify further as follows.

x250=0orx50=0x=250orx=50

But as per the given condition, number of microwave ovens manufactured in a week is 0x200.

Thus, the number of ovens must be manufactured in a given week to generate a profit of $1250 is 50_.

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