Question:

PLEASE HELP! I need help with the last 3 problems!?

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The Chocolate Chip cookies are sold with 5 cookies per snack size bag. Call this cookie X.

The Sandwich Cookies are sold with 8 cookies per snack size bag. Call this cookie Y.The company cannot produce more than 500 cookies per hour.

At least 15 bags of the 1st type of cookie must be produced per hour

At least 20 bags of the 2nd type of cookie must be produced per hour

The profit per bag of cookies of type 1 is 10 cents and type 2 is 5 cents.

If there are x cookies of type 1 and there are 5 cookies per bag, write an expression for the number of bags of type 1:___________

If there are y cookies of type 2 and there are 8 cookies per bag, write an expression for the number of bags of type 2: ___________

Using the two expressions in e and d, write an equation for the total profit earned on the cookies sold:

Profit on bag 1 + Profit on bag 2 = Total Profit

How many cookies of each type should be produced per hour?

How many gift bags of each type of cookie should be produced per hour?

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  1. If there are 5 cookies per bag and x cookies, then there would be x/5 bags.

    If there are 8 cookies per bag and y cookies, then there would be y/8 bags.

    Obviously the bigger profit is earned with x cookies.  Thus, they should not produce any more y cookies than absolutely necessary, which would be (20 bags)*(8 cookies per bag) = 160 cookies.  Remaining production capacity should (500 - 160 = 340 cookies) be devoted to x, and (340/5) = 68 bags of those should be produced.

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