Chapter 6.6, Problem 11P

Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells for $1.25 each and nut bread that sells for $1.50 each and make at least $24 in sales. Write a system of inequalities for the given situation and graph the inequalities.

To determine

To find: A system of inequalities for the given situation, and graph the inequalities.

Answer to Problem 11P

A system of inequalities for the given situation is

  $\begin{array}{l}x+y\le 10\\ 1.25x+1.50y\ge 24\\ x\ge 0,y\ge 0\end{array}$

Explanation of Solution

Given information: Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells for $1.25 each and nut bread that sells for $1.50 each and make at least $24 in sales.

Calculation:

Let number of banana breads be $x$ and number of nut breads be $y$

A.T.Q

  $\begin{array}{l}x+y\le 10\\ 1.25x+1.50y\ge 24\\ x\ge 0,y\ge 0\end{array}$

The required graph of the system of inequalities is

There is no practical solution of the given situation.