Question

QUESTION 3 You are hired as a consultant to optimize the operation of Dr. Chiang's Spartan Tea Crazy that sells various flavored bubble tea. The shop makes and sells five flavors: Original, Coffee, Taro, Honeydew, and Chocolate. The shop wants to make as much money as possible to obtain the maximized profit. The profits per gallon for the five flavors are Original: $150. C. ffee: $86, Taro: $120, Honeydew: S105 and Chocolate: $135. You can make up to 350 gallons. You have to make at least 20 gallons of each flavor and you cannot make more than 100 gallons of any one flavor. Assume the shop sells all of the bubble tea made. What constraint(s) should you consider? 1. the profit constraint II. the total volume constraint III. the minimum volume of each flavor constraint IV. the maximum volume of each flavor constraint V. the non-negative constraint VI. the five flavor constraint 1. II, III, V, and VI 2. I, III, IV, and VI 3. II, III, IV, and V. 4. III, IV, V, and, VI 5.1, II, III, and IV. QUESTION 4 You are hired as a consultant to optimize the operation of Dr. Chiang's Spartan Tea Crazy that sells various flavored bubble tea. The shop makes and sells five flavors: Vanilla, Chocolate, Pistachio, Banana and Rocky Road. You want to make as much money as you can, of course. The profits per gallon for the five flavors are Vanilla: 590, Chocolate: 575, Pistachio: $70, Banana: 555 and Rocky Road: S40. You can make up to 200 gallons. You have to make at least 10 gallons of each flavor and you cannot make more than 75 gallons of any one flavor. Assume you sell all of the ice cream you make. Please demonstrate what you use as the parameter (input variable) in the objective function. 1. the number of gallons of tea used to make each bubble tea flavor 2. 10 gallons production of each bubble tea flavor 3. the number of gallons of bubble tea produced of each flavor 4. the profit per gallon of each bubble tea flavor 5. the number of customers per day

Answer 1

Q3) Answer is 1) II, III, V, VI

Total volume <=350 ---> Total Volume constraint

Minimum volumes of each flavor >=20 --> Minimum volume of each flavor constraint

Non-negativity constraint --> the decision variables cannot be negative

Maximum volume of any one flavor cannot be greater than 100 --> the five flavor constraint where one of the flavors cannot be more than 100

Q4) Answer is -

4) the profit per gallon of each bubble tea flavor

Profit is the fixed part of objective function, hence it is the input parameter.