Question

Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25/box and the white chocolate covered strawberries at $2.50/box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 boxes.

Using the information in the problem, write the constraints. Let x represent number of milk chocolate boxes produced, and y represent number of white chocolate boxes produced.

Total number of chocolate boxes that can be produced: x+y Answer
≤
Answer
800

Restrictions based on demand of each: y Answer
Answer
200
x

Maximum amount of white chocolate production: y Answer
≤
Answer
200

Minimum amount of milk chocolate production: x Answer
Answer

Minimum amount of white chocolate production: y Answer
Answer

Vertices of the feasible region: (0,0)(400, Answer
)( Answer
, Answer
)( Answer
,0)

Optimization equation: Profit = Answer
x+ Answer
y

Your maximum profit is $ Answer
. You should produce Answer
boxes of milk chocolate and Answer
boxes of white chocolate.

Answer 1

Explanation:

Total number of chocolate boxes that can be produced: x+y Answer

≤

Answer

800

Restrictions based on demand of each: y Answer

≤

Answer

1/2

x

Maximum amount of white chocolate production: y Answer

≤

Answer

200

Minimum amount of milk chocolate production: x Answer

≥

Answer

0

Minimum amount of white chocolate production: y Answer

≥

Answer

0

Vertices of the feasible region: (0,0)(400, Answer

200

)( Answer

600

, Answer

200

)( Answer

800

,0)

Optimization equation: Profit = Answer

2.25

x+ Answer

2.5

y

Your maximum profit is $ Answer

1850

. You should produce Answer

600

boxes of milk chocolate and Answer

200

boxes of white chocolate.

Answer 2

Explanation:

I answered this question in question #24285520