Consider the following LP problem, in which X and Y denote the number of units of products X and Y to produce, respectively:
Maximize profit = $4X + $5T
subject to the constraints

Following situations. Each question is independent of the other questions.
(a) You acquire 2 additional pounds of material.
(b) You acquire 1.5 additional hours of labor.
(c) You give up 1 hour of labor and get 1.5 pounds of material.
(d) The profit contributions for both products X and Y are changed to $4.75 each.
(e) You decide to introduce a new product that has a profit contribution of $2. Each unit of this product will use 1 hour of labor, 1 pound of material, and 2 square feet of storage space

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X+2Y <10 6X + 6Y<36 8X+ 4Y < 40 X, Y >