Question

A cheerleading team is selling cookie dough and pizza kits to raise at least $3,600 for their summer camp expenses. (a) If the profit for selling a tub of cookie dough is $6 and for selling a pizza kit is $4, write a system of inequalities that describes when x tubs of cookie dough and y pizza kits will cause the fundraising goal to be reached. (Hint: Remember that a negative number of cookie dough or pizza kits cannot be sold.) (Enter your answers as a comma-separated list.)

Answer 1

6x + 3y ≥ 3600

where x>0, y>0

Step-by-step explanation:

Based on the linear programming solution method, the following could be inferred:

1. at least they want to raise $3,600, implying the profit should be greater than or equal to (≥) $3,600.

2. The amount raised are from sales of two products "cookie dough and pizza kit".

The question requires only writing or formulation of a system of inequalities (constraints) that describes this problem, which involves:

1. We represent the number of tub of cookie dough and pizza kit by (x, y) respectively.

2. We state the constraints of the solution.

6x + 3y ≥ 3,600.

3. The non negativity sign (x>0, y>0) implies that a negative number of cookie dough or pizza kits cannot be sold.