Write a linear program for the following problem. (Do not solve.)
A fast food chain is trying to design a new chicken nugget recipe. They are mixing chicken meat (165 Calories and 33 cents per 100 grams) with mystery meat (140 Calories and 15 cents per 100 grams) and breading (395 Calories and 2 cents per 100 grams). They want to satisfy the following requirements:
•To be able to legally call the result “chicken nuggets”, at least 50% of the meat, by weight, must be chicken meat.
•To be a healthier alternative to their competitors’ chicken nuggets, the recipe must contain at most 250 Calories per 100 grams.
The goal is to minimize the cost to produce a single chicken nugget (15 grams).
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