Question

Hey I’m clueless mind helping get this done

MGMT 315 In-Class Worksheet February 12, 2019 This assignmment is due the end of class. Your work must be completed individually caleulators. You may use a ruler and a calculator to complete. . Calista, the owner of Crackers, Inc. produces both Deluxe and Classic Doggie C and 125 production manager, Izabella only has 300 pounds of peanut butter, 600 pounds of flour pounds of carob for her next production run. A peanut butter, 3/8 pound of flour, and 1/16 pound of carob to produce. A box of Classic Doggie Cookies requires 4 pound of peanut butter, % pound of flour, and 1/8 pound of carob to produce. She box of Deluxe Doggie Cookies requires 1/8 pound of already has an order for 500 boxes of Deluxe Doggie Cookies so she must produce at least that many Profits are 40 cents for a box for Deluxe Doggie Cookies and 50 cents for a box for Classic Doggie ing model. Include all required parts and put them in correct Cookies. Formulate the linear programmi order.

Answer 1

Ans 1

Suppose the company produces x_1 Deluxe and x_2 classic doggie cookies boxes Since the profit is to be maximized, the objective function is max 0.4 x_1 + 0.5 x_2 subject to constraints 1/8 x_1 + 1/4 x_2 lessthanorequalto 300 3/8 x_1 + 1/2 x_2 lessthanorequalto 600 x_1 + 1/8 x_2 lessthanorequalto 125 x_1 greaterthanorequalto 500 and x_2 greaterthanorequalto 0.

Ans 2

c. The area is bunded by the points (0,0) ( 3,4.5) (20/3,8/3) and (8,0), which are points of optimality.

Value of the OF is

at ( 3,4.5) = 3x3 +4x4.5 =27

at ( 20/3,8/3) = 3 x20/3 + 4 x 8/3 = 30.66

at (8,0) =24

The optimum profit is 30.66 obtained at x= 20/3 and y=8/3)