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J 2 Jemima's Sustainable Hospitality Supplies Co. must supply 200 linen napkins on Monday, 180 on Tuesday, 200 on Wednesday, 190 on Thursday, and 220

J 2

Jemima's Sustainable Hospitality Supplies Co. must supply 200 linen napkins on Monday, 180 on Tuesday, 200 on Wednesday, 190 on Thursday, and 220 on Friday. They currently have 42 linen napkins available to be which they can use to meet the demand for the week. In addition, new linen napkins can also be purchased for 50 cents each but, because of limited supply, Jemima can only purchase 300 new napkins for the current week. Alternatively soiled linen napkins can be laundered overnight (i.e. they are available the next day) at a cost of 15c per napkin, or over three nights (i.e. available again three days later) at a cost of 10c per napkin. However, from past experience, Jemima has found only 90% of soiled linen napkins can be used again (even after being laundered) with unusable napkins immediately thrown away. For instance, if 200 linen napkins that were used on Monday then only 180 will be able to used again later in the week. All remaining usable linen napkins are thrown away at the end of the week. Note: You may assume napkins can be stored until needed (or until the end of the week) at no cost once they return from the laundry. Formulate this problem as a transportation problem (i.e. the transportation tableau) to find the cheapest schedule to supply the linen napkins Do not solve this problem (Suggestion: Start by defining the supply and demand points and forming a cost table. Remember only dirty napkins can be laundered. Fill in the cost table completely by assigning a very high cost to any demand that cannot be met from a supply point.)

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