Your company assembles five different models of a motor scooter that is sold in specialty stores in the United States. The company uses the same engine for all five models. You have been given the assignment of choosing a supplier for these engines for the coming year. Due to the size of your warehouse and other administrative restrictions, you must order the engines in lot sizes of 1,200 units. Because of the unique characteristics of the engine, special tooling is needed during the manufacturing process for which you agree to reimburse the supplier. Your assistant has obtained quotes from two reliable engine suppliers, and you need to decide which to use, the following data have been collected.    Requirements (annual forecast)            14,400 units  Weight per engine                                            25 pounds  Order processing cost                                $ 145 per order  Inventory carry cost                            20% of the avg. Value of inventory per year    Assume that half of lot size is in inventory on average (1,200/2=600 units).  Two qualified suppliers have submitted the following quotations:  ORDER QUANTITY                   SUPPLIER 1                SUPPLIER 2                                                       Unit price                    unit price  1 to 1,499 units/order              $    565                      $    558  1,500 to 2,999 unit/order               551                            558  3,000 + unit/order                            550                            548  Tooling cost                                 $ 31,620                   $ 29,300  Distance                                                115 miles                 100 miles    Your assistant has obtained the following freight rates from carrier  Truckload (45,000 lbs. Ea. Load)                   $0.08 per ton-mile  Les-than-truckload                                           $1.20 per ton-mile                          (Per ton-mile=2, 000lbs.per mile)  A.1 -Calculate the total cost for each supplier. Round answer to nearest whole number  A.2 which supplier would you select?  B.1 If you could move the lot size up to ship in truckload quantities, calculate the total cost for each supplier. (Do not round immediate calculation, round “required lot size for truckload” and final answers to the nearest whole number.)  HINT: use full truckload cast rates and the lowest feasible unit cost for all calculations. For example, if there are 8.3 0rders per year don’t split the 8.3 orders into 8 full truckloads and 0.3 less than truckloads-use the full truckload rate for all 8.3 orders. For annual purchase cost, don’t use two different unit costs for the 8 complete orders and the 0.3 partial orders-use the lowest feasible unit cost for all 8.3 purchase orders based on the lot size needed for a full truckload.  B.2 would supplier selection change?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 22P
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Your company assembles five different models of a motor scooter that is sold in specialty stores in the United States. The company uses the same engine for all five models. You have been given the assignment of choosing a supplier for these engines for the coming year. Due to the size of your warehouse and other administrative restrictions, you must order the engines in lot sizes of 1,200 units. Because of the unique characteristics of the engine, special tooling is needed during the manufacturing process for which you agree to reimburse the supplier. Your assistant has obtained quotes from two reliable engine suppliers, and you need to decide which to use, the following data have been collected. 

 

Requirements (annual forecast)            14,400 units 

Weight per engine                                            25 pounds 

Order processing cost                                $ 145 per order 

Inventory carry cost                            20% of the avg. Value of inventory per year 

 

Assume that half of lot size is in inventory on average (1,200/2=600 units). 

Two qualified suppliers have submitted the following quotations: 

ORDER QUANTITY                   SUPPLIER 1                SUPPLIER 2 

                                                     Unit price                    unit price 

1 to 1,499 units/order              $    565                      $    558 

1,500 to 2,999 unit/order               551                            558 

3,000 + unit/order                            550                            548 

Tooling cost                                 $ 31,620                   $ 29,300 

Distance                                                115 miles                 100 miles 

 

Your assistant has obtained the following freight rates from carrier 

Truckload (45,000 lbs. Ea. Load)                   $0.08 per ton-mile 

Les-than-truckload                                           $1.20 per ton-mile 

                        (Per ton-mile=2, 000lbs.per mile) 

A.1 -Calculate the total cost for each supplier. Round answer to nearest whole number 

A.2 which supplier would you select? 

B.1 If you could move the lot size up to ship in truckload quantities, calculate the total cost for each supplier. (Do not round immediate calculation, round “required lot size for truckload” and final answers to the nearest whole number.) 

HINT: use full truckload cast rates and the lowest feasible unit cost for all calculations. For example, if there are 8.3 0rders per year don’t split the 8.3 orders into 8 full truckloads and 0.3 less than truckloads-use the full truckload rate for all 8.3 orders. For annual purchase cost, don’t use two different unit costs for the 8 complete orders and the 0.3 partial orders-use the lowest feasible unit cost for all 8.3 purchase orders based on the lot size needed for a full truckload. 

B.2 would supplier selection change?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,