Question

A company makes four types of gourmet chocolate bars.
Chocolate Bar I contains 5 grams of nuts, 5 grams of biscuit, 10
grams of caramel, and 100 grams of chocolate, and sells for $5.40.
Chocolate Bar II contains 10 grams of nuts, 10 grams of biscuit, 10
grams of caramel, and 90 grams of chocolate and sells for $6.25.
Chocolate Bar III contains no nuts, 10 grams of biscuit, 10 grams
of caramel, and 100 grams of chocolate and sells for $5.25.
Chocolate Bar IV contains 20 grams of nuts, no biscuit, 10 grams of
caramel, and 90 grams of chocolate and sells for $7.00. The
ingredient costs are $0.15 per gram of nuts, $0.025 per gram of
biscuit, $0.02 per gram of caramel, and $0.015 per gram of
chocolate. The company has supplier agreements that force them to
order at least 50,000 grams of each ingredient per week (nuts,
biscuit, caramel, and chocolate). However, due to the space in
their warehouse and the expense of holding too much inventory, the
company cannot hold more than 100,000 grams of nuts; 75,000 grams
of biscuits; 85,000 grams of caramel; and 500,000 grams of
chocolate per week. How many chocolate bars of each type should the
company produce each week in order to maximize its weekly
profit?

Answer #1

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