Bayer Pharmaceutical produces three kinds of cold formulas: formula I, formula II, and formula III. It takes 2.5 hr to produce 1,000 bottles of formula I, 3 hr to produce 1,000 bottles of formula II, and 4 hr to produce 1,000 bottles of formula III. The profits for each 1,000 bottles of formula I, formula II, and formula III are $180, $200, and $300, respectively. For a certain production run, there are enough ingredients on hand to make at most 8,000 bottles of formula I, 15,000 bottles of formula II, and 7,000 bottles of formula III. Furthermore, the time for the production run is limited to a maximum of 65 hr. How many bottles of each formula should be produced in this production run so that the profit is maximized?
A) Minimize P = 180x + 200y + 300z subject to
B) Minimize P = 180x + 200y + 300z subject to
C) Minimize P = 180x + 200y + 300z subject to
D) Maximize P = 180x + 200y + 300z subject to
E) Maximize P = 180x + 200y + 300z subject to

Question

Bayer Pharmaceutical produces three kinds of cold formulas: formula I, formula II, and formula III. It takes 2.5 hr to produce 1,000 bottles of formula I, 3 hr to produce 1,000 bottles of formula II, and 4 hr to produce 1,000 bottles of formula III. The profits for each 1,000 bottles of formula I, formula II, and formula III are $180, $200, and $300, respectively. For a certain production run, there are enough ingredients on hand to make at most 8,000 bottles of formula I, 15,000 bottles of formula II, and 7,000 bottles of formula III. Furthermore, the time for the production run is limited to a maximum of 65 hr. How many bottles of each formula should be produced in this production run so that the profit is maximized?
A) Minimize P = 180x + 200y + 300z subject to 
B) Minimize P = 180x + 200y + 300z subject to 
C) Minimize P = 180x + 200y + 300z subject to 
D) Maximize P = 180x + 200y + 300z subject to 
E) Maximize P = 180x + 200y + 300z subject to

Quizplus · Accepted Answer

The Answer of Bayer Pharmaceutical produces three kinds of cold formulas: formula I, formula II, and formula III. It takes 2.5 hr to produce 1,000 bottles of formula I, 3 hr to produce 1,000 bottles of formula II, and 4 hr to produce 1,000 bottles of formula III. The profits for each 1,000 bottles of formula I, formula II, and formula III are $180, $200, and $300, respectively. For a certain production run, there are enough ingredients on hand to make at most 8,000 bottles of formula I, 15,000 bottles of formula II, and 7,000 bottles of formula III. Furthermore, the time for the production run is limited to a maximum of 65 hr. How many bottles of each formula should be produced in this production run so that the profit is maximized?
A) Minimize P = 180x + 200y + 300z subject to 
B) Minimize P = 180x + 200y + 300z subject to 
C) Minimize P = 180x + 200y + 300z subject to 
D) Maximize P = 180x + 200y + 300z subject to 
E) Maximize P = 180x + 200y + 300z subject to

Bayer Pharmaceutical Produces Three Kinds of Cold Formulas: Formula I