A company makes two models of doghouses.The times (in hours) required for assembling, painting, and packaging are shown in the table. The total times available for assembling, Painting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively.The profits per unit are $60 for model A and $75 for model B.what is the optimal production level for each model? What is the optimal profit?
A) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,571.
B) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,535.
C) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $97,500.
D) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $90,000.
E) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $75,000.

Question

A company makes two models of doghouses.The times (in hours) required for assembling, painting, and packaging are shown in the table.  The total times available for assembling, Painting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively.The profits per unit are $60 for model A and $75 for model B.what is the optimal production level for each model? What is the optimal profit?
A) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,571. 
B) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,535. 
C) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $97,500. 
D) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $90,000. 
E) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $75,000.

Quizplus · Accepted Answer

The Answer of A company makes two models of doghouses.The times (in hours) required for assembling, painting, and packaging are shown in the table.  The total times available for assembling, Painting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively.The profits per unit are $60 for model A and $75 for model B.what is the optimal production level for each model? What is the optimal profit?
A) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,571. 
B) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,535. 
C) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $97,500. 
D) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $90,000. 
E) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $75,000.

A Company Makes Two Models of Doghouses