A fashion house makes designer masks using cotton and polyester fabrics. Each cotton mask requires 15 minutes and each polyester mask requires 21 minutes of time to be made. Each cotton mask requires $5 worth of material and each polyester mask requires $4 worth of material. The owner has set a maximum of 4 hours each day to be available for mask making and a budget of at most $50 for the fabrics used daily. Each cotton mask is sold for $40, and each polyester mask is sold for $30. The owner knows that there is a daily demand for at least 2 cotton and at least 5 polyester masks. How many of each type of mask should be made and sold daily in the fashion house in order to maximize the daily mask revenue? Let x be the number of cotton masks made daily. Let y be the number of polyester masks made daily. Write the objective function and determine which of the following is true. A. Maximize R = 40x + 30y, where R is the daily revenue from the sale of masks. B. Maximize C = 5x + 4y, where C is the fabric cost of masks made daily. C. Minimize R = 40x + 30y, where R is the daily revenue from the sale of masks. D. Maximize N = 2x + 5y, where N is the number of masks made daily. E. Minimize C = 5x + 4y, where C is the fabric cost of masks made daily
A fashion house makes designer masks using cotton and polyester fabrics. Each cotton mask requires 15 minutes and each polyester mask requires 21 minutes of time to be made. Each cotton mask requires $5 worth of material and each polyester mask requires $4 worth of material. The owner has set a maximum of 4 hours each day to be available for mask making and a budget of at most $50 for the fabrics used daily. Each cotton mask is sold for $40, and each polyester mask is sold for $30. The owner knows that there is a daily demand for at least 2 cotton and at least 5 polyester masks. How many of each type of mask should be made and sold daily in the fashion house in order to maximize the daily mask revenue?
Let x be the number of cotton masks made daily.
Let y be the number of polyester masks made daily.
Write the objective
- A.
Maximize R = 40x + 30y, where R is the daily revenue from the sale of masks.
- B.
Maximize C = 5x + 4y, where C is the fabric cost of masks made daily.
- C.
Minimize R = 40x + 30y, where R is the daily revenue from the sale of masks.
- D.
Maximize N = 2x + 5y, where N is the number of masks made daily.
- E.
Minimize C = 5x + 4y, where C is the fabric cost of masks made daily.
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