- A bakery makes $4 profit on its wedding cakes and $3 on its birthday cakes. Wedding cakes take 4 minutes for mixing, 90 minutes for baking, 8 minutes for icing. Birthday cakes take 6 minutes for mixing. 15 minutes for baking and 4 minutes for icing. The bakery has 120 minutes of mixing time, 900 minutes of baking time and 96 minutes of icing time. Express the data in terms of equations and inequalities necessary to determine the combination of wedding cakes and birthday cakes that will maximize profit subject to the constraints?
- A maker of fine preserves earns $15 profit on its premium brand and $6 profit on its standard brand. The premium-brand preserves take 7.5 minutes for peeling, 20 minutes for stewing, and 8 minutes for canning. The standard-brand preserves take 5 minutes for peeling, 30 minutes for stewing, and 2 minutes for canning. The manufacturer has 150 minutes for peeling, 540 minutes for stewing and 120 minutes for canning. Model this information into a linear programming problem.
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