Helena Lorimer runs a set of ice cream cafes that sell mainlythree flavors of ice cream: vanilla, chocolate, and strawberry. Hotweather and high demand have caused her to run short of the mainingredients: milk, sugar, and cream. She has decided to make thebest assortment of ice cream quantities in these three flavors andration out the deliveries to the cafes.

She has collected data on the profitability of the variousflavors, availability of supplies, and the amounts of ingredientsrequired for each flavor.

Flavor	Profit per Gallon	Usage/Gallon
Milk (gal.)	Sugar (lbs.)	Cream (gal.)
Chocolate	$1.00	0.45	0.50	0.10
Vanilla	$0.90	0.50	0.40	0.15
Strawberry	$0.95	0.40	0.40	0.20
Max available	200	150	60

She wants to determine the optimal product mix for the Lorimerice cream.

Let       x₁ = the # ofgallons of Chocolate ice cream made

           x₂ = the # of gallons of Vanilla ice cream made

           x₃ = the # of gallons of Strawberry ice cream made

Max Z =    $1.00x₁ + $0.90x₂ +$0.95x₃   

Subject To:

0.45x1 + 0.50x2 + 0.40x3	≤ 200 gal	Milk Supply Constraint
0.50x1 + 0.40x2 + 0.40x3	≤ 150 lbs	Sugar Supply Constraint
0.10x1 + 0.15x2 + 0.20x3	≤ 60 gal	Cream Supply Constraint
      x1   Â	≥ 0 gallons	x1 Non-negativity Constraint
                    x2   Â	≥ 0 gallons	x2 Non-negativity Constraint
                                   x3  Â	≥ 0 gallons	x3 Non-negativity Constraint

Use your Excel spreadsheet model to answer the followingquestion. Select the answer that best fits what you got. The answeroptions are not in any particular order.

What is the value of the X2 decision variable at theoptimal solution?

Select one:

a. X₂ = 275 gallons

b. X₂ = 220

c. X₂ = 275

d. X₂ = 220 gallons

e. X₂ = 120

f. X₂ = 300 gallons

g. X₂ = 200

h. X₂ = 300

i. X₂ = 200 gallons

j. X₂ = 120 gallons