Operations Management: Sustainability and Supply Chain Management (12th Edition)
Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter B, Problem 23P

A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to Customer A and 800 tons to Customer B). It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse 1 (W1) has 400 tons of inventory on hand, Warehouse 2 (W2) has 500 tons, and Warehouse 3 (W3) has 600 tons. The company would like to arrange the shipping for the lowest cost possible, where the per-ton transit costs are as follows:

Chapter B, Problem 23P, A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to , example  1

  1. a. Explain what each of the six decision variables (V) is: (Hint: Look at the Solver report below.)

V A1: _________

V A2: _________

V A3: _________

V B1: _________

V B2: _________

V B3: _________

  1. b. Write out the objective function in terms of the variables (V A1, V A2, etc,) and the objective coefficients.
  2. c. Aside from nonnegativity of the variables, what are the five constraints? Write a short description for each constraint, and write out the formula (and circle the type of equality/inequality).

Chapter B, Problem 23P, A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to , example  2

After you formulate and enter the linear program for Problem B.27 in Excel, the Solver gives you the following sensitivity report:

Adjustable Cells

Chapter B, Problem 23P, A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to , example  3

Constraints

Chapter B, Problem 23P, A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to , example  4

  1. d. d) How many of the constraints are binding?
  2. e. e) What is the range of optimality on variable V A3?
  3. f. f) If we could ship 10 tons less to Customer A, how much money might we be able to save? If we could choose to short either Customer A or Customer B by 10 tons, which would we prefer to short? Why?
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​Ruby-Star Incorporated is considering two different vendors for one of its​ top-selling products which has an average weekly demand of 30 units and is valued at ​$60 per unit. Inbound shipments from vendor 1 will average 330 units with an average lead time​ (including ordering delays and transit​ time) of 4 weeks. Inbound shipments from vendor 2 will average 450 units with an average lead time of 3 weeks. ​Ruby-Star operates 52 weeks per​ year; it carries a 4​-week supply of inventory as safety stock and no anticipation inventory. A. the average aggregate inventory value of the product if ruby star used vendor 1 exclusively is $_____ (enter your response as a whole number) B. the average aggregate inventory value of the product if ruby sta used vendor 2 exclusively is $______ (enter your response as a whole number) C. how would your analysis change if average weekly demand increased to 140 units per week? the average aggregate inventory value of the product if ruby star used vendor 1…
Ruby-Star Incorporated is considering two different vendors for one of its top-selling products which has an average weekly demand of 50 units and is valued at $75 per unit. Inbound shipments from vendor 1 will average 350 units with an average lead time (including ordering delays and transit time) of 2 weeks. Inbound shipments from vendor 2 will average 500 units with an average lead time of 1 week. Ruby-Star operates 52 weeks per year; it carries a 2-week supply of inventory as safety stock and no anticipation inventory.a. What would be the average aggregate inventory value of this product if Ruby-Star used vendor 1 exclusively?b. What would be the average aggregate inventory value of this product if Ruby-Star used vendor 2 exclusively?c. How would your analysis change if average weekly demand increased to 100 units per week?
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