Q3 to Q6 are based on this problem Jack can produce red and green chilies T shirts on six different machines The following table summarizes the manufacturing costs associated with producing T shirts on each machine along with the available capacity on each machine If Jack received an order of 1800 T shirts, how should Jack schedule these machines, i e which machine produces how many T shirts to minimize the total cost Machine Fixed Cost Variable Cost Capacity 1 $1000 $21 500 2 $950 $23 600 3 $875 $25 750 4 $850 $24 400 5 $800 $20 600 6 $700 $26 800 Formulate an IP to solve this problem I suggest you write out the complete formulation before answer the multiple choice questions Decision Variables Xi number of T shirts produced on the machine i i 1 6 Parameters FCi Fixed cost of machine i, i 1 6 VCi Variable cost of machine i, i 1 6 CAPi Capacity of machine i, i 1 6 Q3 What should be the objective function A Min Where Yi 1 if Xi positive 0 otherwise B Max Where Yi 1 if Xi positive 0 otherwise C Min 21X1 23X2 25X3 24X4 20X5 26X6 D Max 21X1 23X2 25X3 24X4 20X5 26X6 Q4 Let Yi 1 if Xi positive 0 otherwise, i 1 6 Which of the following statement regarding the production setup constraint is not true Group of answer choices A As long as M2 is larger than 400, it is large enough for the production setup constraint X2 M2Y2 B We use Xi MiYi C We can not use Xi XiYi as the production setup constraint because it is nonlinear D The decision variable Yi represents whether or not to use machine i Q5 Which of the following constraint is not part of the IP formulation Group of answer choices A B X2 C X3 750Y3 D Yi binary Q6 What are the optimal solutions and minimized cost Group of answer choices A X1 500, X2 600, X5 600, X6 100, and the minimized total cost is 42350 B X1 400, X2 600, X5 700, X6 100, and the minimized total cost is 42250 C X2 600, X3 500, X5 600, X6 100, and the minimized total cost is 44225 D X1 500, X2 600, X5 600, X6 200, and the minimized total cost is 42350

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Question: Q3 to Q6 are based on this problem. Jack can produce red and green chilies T-shirts on six different machines. The following table summarizes the

Q3 to Q6 are based on this problem. Jack can produce red and green chilies T-shirts on six different machines. The following table summarizes the manufacturing costs associated with producing T-shirts on each machine along with the available capacity on each machine. If Jack received an order of 1800 T-shirts, how should Jack schedule these machines, i.e. which machine produces how many T-shirts to minimize the total cost?

Machine	Fixed Cost	Variable Cost	Capacity
1	$1000	$21	500
2	$950	$23	600
3	$875	$25	750
4	$850	$24	400
5	$800	$20	600
6	$700	$26	800

Formulate an IP to solve this problem. I suggest you write out the complete formulation before answer the multiple-choice questions. Decision Variables:

Xi: number of T-shirts produced on the machine i. i=1-6.

Parameters:

FCi: Fixed cost of machine i, i=1-6.

VCi: Variable cost of machine i, i=1-6.

CAPi: Capacity of machine i, i=1-6.

------------------------------------------------------------------------------------- Q3 What should be the objective function?

Min Q3 to Q6 are based on this problem. Jack can

Where Yi =1 if Xi positive; 0 otherwise

Max Q3 to Q6 are based on this problem. Jack can

Where Yi =1 if Xi positive; 0 otherwise

Min 21X1+23X2+25X3+24X4+20X5+26X6

Max 21X1+23X2+25X3+24X4+20X5+26X6

----------------------------------------------------------------------------------

Let Yi=1 if Xi positive; 0 otherwise, i=1-6. Which of the following statement regarding the production setup constraint is not true?

Group of answer choices

As long as M2 is larger than 400, it is large enough for the production setup constraint X2-M2Y2

We use Xi-MiYi

We can not use Xi-XiYi as the production setup constraint because it is nonlinear.

The decision variable Yi represents whether or not to use machine i.

----------------------------------------------------------------------------

Which of the following constraint is not part of the IP formulation?

Group of answer choices

Q3 to Q6 are based on this problem. Jack can

X3-750Y3

Yi binary

----------------------------------------------------------------------------------------

What are the optimal solutions and minimized cost?

Group of answer choices

X1=500, X2=600, X5=600, X6=100, and the minimized total cost is 42350.

X1=400, X2=600, X5=700, X6=100, and the minimized total cost is 42250.

X2=600, X3=500, X5=600, X6=100, and the minimized total cost is 44225.

X1=500, X2=600, X5=600, X6=200, and the minimized total cost is 42350.

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