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The operations manager for the Amazing Juice Co. produces two juices: Lite (L) and Regular (R). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes) per day; and sugar (one of his ingredients), of which he can get only 900 lb each day. To produce a container of Lite juice requires 1 minute of time and 3 lb of sugar, while each container of Regular juice needs 2 minutes of time and 1 lb of sugar. Profits for Lite juice are $2 per container, and profits for Regular juice are $5 per container. Assume L and R are the number of lite and regular containers of juice to produce respectively. Answer the following based on a Linear Programming (LP) formulation of the problem. What is the time constraint?

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product: Task Predecessor Time (seconds) z – 30 y z 30 x z 6 w x 12 v w 40 u y,v 30 If the company currently has four workstations, and with the cycle time was 60 sec, what is the efficiency of their assembly line?

A manufacturing firm is considering two locations for a plant to produce a new product. The two locations have fixed and variable costs as follows: Location Fixed Costs Variable Costs Dallas $60,000/year $22/unit Phoenix  $150,000/year $18/unit If the annual demand will be 20,000 units, what would be the cost advantage of the better location?

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product: Task Predecessor Time (seconds) z – 30 y z 30 x z 6 w x 12 v w 40 u y,v 30 The company uses the following primary and secondary rules to balance the line: Primary rule: the largest number of followers Secondary rule: the largest processing time to balance the line What will be the total number of workstations on the line be?

A clothing manufacturer produces clothing in five locations in the U. S. In a move to vertical integration, the company is planning a new fabric production plant which will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows:                     Location (X, Y)  A 10, 8  B 8, 4  C 5, 6  D 15, 5  E 2, 7 If the shipments of fabric to each plant are equal, what is the optimal location (X , Y) for the fabric plant? 

A manager has been using a certain technique to forecast demand for gallons of ice cream for the past six periods. Actual and forecasted amounts are shown below. Period Demand Forecast 1 85 90 2 80 76 3 65 60 4 90 88 5 105 98 6 110 95 What is the MAD for this forecasting technique?

The inventory on hand, and the product structure tree, for a certain product are given below. LT refers to lead time in weeks and the number in brackets ( ) refers to the number of units required.  If 70 units of A are required, how many additional units of C should be ordered Component A B C D E F Inventory on Hand 20 10 15 10 10 5  Picture3(1)(1).png

The AOA network for a certain project is given in the graph below with the task durations (in days) in the table beneath it. The activities d1 and d2 are dummy activities. What is the slack for activity g? Activity a b c d e f g h Duration 8 12 8 5 5 10 7 0 Capture(1)(1).GIF

Ann Chovies, owner of the Perfect Pasta Pizza Parlor, uses 40 pounds of pepperoni each day in preparing pizzas. There are 300 working days in a year. Order costs for pepperoni are $10.00 per order, and carrying costs are $6 per pound per year. Lead time for each order is 5 days, and the pepperoni itself costs $5.00 per pound. What is the reorder point for pepperoni? Round your answers to zero decimal digits.

The business analyst for Movie Sales, Inc. wants to forecast this year’s demand for Movies based on the following historical data: Time Period Demand 5 years ago 600 4 years ago 800 3 years ago 700 2 years ago 100 Last year 600 What is the forecast for this year using a three-year moving average?