Ace Novelty wishes to produce two types of souvenirs: type A and type B. Each type-A souvenir will result in a profit of $1.00, and each type-B souvenir will result in a profit of $1.20. To manufacture a type-A souvenir requires 2 minutes on machine I and 1 minute on machine II. A type-B souvenir requires 1 minute on machine I and 3 minutes on machine II. There are 3 hours available on machine I and 5 hours available on machine II for processing the order.

Let x be the number of type-A souvenirs and y be the number of type-B souvenirs to be made. Then the problem can be reduced to a linear programming problem with the objective function P = x + 1.2y and constraints

Please enter your answers to two decimal places.

Find the contribution to the profit of a type-B souvenir for which the optimal solution holds.

$ ≤ c _type-B ≤ $

What will be the optimal profit of the company if the contribution to the profit of a type-A souvenir is $1.90 (with the contribution to the profit of a type-B souvenir held at $1.20)?

$ __________

What will be the optimal profit of the company if the contribution to the profit of a type-B souvenir is $2.80 (with the contribution to the profit of a type-A souvenir held at $1.00)?

$ __________

Question

Ace Novelty wishes to produce two types of souvenirs: type A and type B. Each type-A souvenir will result in a profit of $1.00, and each type-B souvenir will result in a profit of $1.20. To manufacture a type-A souvenir requires 2 minutes on machine I and 1 minute on machine II. A type-B souvenir requires 1 minute on machine I and 3 minutes on machine II. There are 3 hours available on machine I and 5 hours available on machine II for processing the order.

Let x be the number of type-A souvenirs and y be the number of type-B souvenirs to be made. Then the problem can be reduced to a linear programming problem with the objective function P = x + 1.2y and constraints

Please enter your answers to two decimal places.

Find the contribution to the profit of a type-B souvenir for which the optimal solution holds.

$ ≤ c _type-B ≤ $

What will be the optimal profit of the company if the contribution to the profit of a type-A souvenir is $1.90 (with the contribution to the profit of a type-B souvenir held at $1.20)?

$ __________

What will be the optimal profit of the company if the contribution to the profit of a type-B souvenir is $2.80 (with the contribution to the profit of a type-A souvenir held at $1.00)?

$ __________

Quizplus · Accepted Answer

The Answer of Ace Novelty wishes to produce two types of souvenirs: type A and type B. Each type-A souvenir will result in a profit of $1.00, and each type-B souvenir will result in a profit of $1.20. To manufacture a type-A souvenir requires 2 minutes on machine I and 1 minute on machine II. A type-B souvenir requires 1 minute on machine I and 3 minutes on machine II. There are 3 hours available on machine I and 5 hours available on machine II for processing the order. Let x be the number of type-A souvenirs and y be the number of type-B souvenirs to be made. Then the problem can be reduced to a linear programming problem with the objective function P = x + 1.2y and constraints Please enter your answers to two decimal places. Find the contribution to the profit of a type-B souvenir for which the optimal solution holds. $ ≤ c _type-B ≤ $ What will be the optimal profit of the company if the contribution to the profit of a type-A souvenir is $1.90 (with the contribution to the profit of a type-B souvenir held at $1.20)? $ __________ What will be the optimal profit of the company if the contribution to the profit of a type-B souvenir is $2.80 (with the contribution to the profit of a type-A souvenir held at $1.00)? $ __________

Ace Novelty Wishes to Produce Two Types of Souvenirs: Type