PLEASE ANSWER ASAP

(I understand its multiple questions but its all part of one question just multiple parts, I will like)

Suppose that you work at an ice-scream shop during the summer. You need to prepare small and large cups of ice-cream for one day. The storage room can only hold 80 cups. A small cup of ice-cream costs $2.00 and a large one costs $3.00. A maximum of $180.00 is budgeted for cups and ice-cream. The net profit from a small cup is $2.00 and the net profit from a large cup is $3.00.

The number of small cups of ice-cream should be at least 30. Let X stand for the number of small cups and Y for the number of large cups. How many cups of each type should you prepare to maximize daily profit?

Question 9 (1 point)

Saved

What is the slack/surplus of constraint 2X + 3Y 180?

Question 9 options:

None of the answers provided is correct.

180

40

0

30

Question 10 (1 point)

What is the slack/surplus of constraint X + Y 80?

Question 10 options:

10

80

40

30

None of the answers provided is correct.

Question 11 (1 point)

What would happen if the net profit from a large cup is $5.00 and the net profit from a small cup is $2.20?

Question 11 options:

None of the answers provided is correct.

The optimal solution would change

At least one constraint would change

All constraints would change

The optimal solution would not change

Question 12 (1 point)

What would happen if the net profit from a large cup is $3.50 and the net profit from a small cup is $2.30?

Question 12 options:

All constraints would change

At least one constraint would change

The optimal solution would change

None of the answers provided is correct.

The optimal solution would not change

Question 13 (1 point)

What would happen if the right hand side of constraint 2X + 3Y 180 is 200; that is 2X + 3Y 200?

Question 13 options:

The value of the objective function would decrease by approximately $120.

None of the answers provided is correct.

Constraint 2X + 3Y 180 would become a non-binding constraint

The value of the objective function would stay the same.

The value of the objective function would increase by approximately $23.33.

Question 14 (1 point)

What would happen if the right-hand side of constraint X + Y 80 is 100; that is X + Y 100?

Question 14 options:

Constraint X + Y 80 would become a binding constraint

The value of the objective function would stay the same.

None of the answers provided is correct.

The value of the objective function would decrease by approximately $60.

The value of the objective function would increase by approximately $23.33.

Question 15 (1 point)

How much would the value of the objective function increase if the right hand side of constraint X + Y 80 increases by 1 unit?

Question 15 options:

	$70
	$180
	$1.667
	None of the answers provided is correct.
	$0