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1 March, 06:47

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.)

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  1. 1 March, 10:33
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    6x + 3y ≥ 3600

    where x>0, y>0

    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.
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