To find: The number of manicure and pedicure can be done daily to maximize daily income.
Answer to Problem 10PT
Ms. K should make 12 Manicures and 4 pedicures.
Ms. K daily income is 396 dollars
Explanation of Solution
Given information :
Time allots for manicure = 20 min
Time allots for pedicure = 45 min
No of working hour per day = 7 hrs
No of pedicures each day = 5
Prices for manicure = $18
Prices for pedicure = $45
Calculation :
Suppose
Write the system of constraints for the scenario, both variables must be greater than or equal to zero.
Therefore, the equation is written as follows: Since
Multiply both the sides of the equation by 12 as follows:
Ms. K can make 5 pedicures maximally, then;
Since
So change the number of
Pedicures to
Therefore, Ms. K should make 12. Manicures and 4 pedicures.
Ms. K daily income is calculated as;
Therefore, Ms. K daily income is 396 dollars.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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