3.4-8. Mercantil Web sells household products through an online catalog. The company needs a lot of space in warehouses

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3 4 8 Mercantil Web Sells Household Products Through An Online Catalog The Company Needs A Lot Of Space In Warehouses 1 (82.81 KiB) Viewed 62 times

3.4-8. Mercantil Web sells household products through an online catalog. The company needs a lot of space in warehouses to store the products. For now, plans are being made to rent this space for the next five months. How much space will be needed in each of these months is known. However, since these space requirements are quite different, it may be more economical to rent only the space needed for each month, on a monthly basis. However, the additional cost to rent space for additional months is much less than for the first month, so it could be much cheaper to rent the maximum space needed for all five months. Another option is an intermediate solution of changing the total leased space (adding a new lease and/or a temporary lease) at least once, but not every month. The space requirement and rental costs for the different periods are as follows: month required space (ft2) rental period (months) rent cost per foot? 1 30000 1 US$ 65 2 20000 US$ 100 N N 3 40000 3 US$ 135 4 10000 4 US$ 160 5 07 50000 5 US$ 190 The objective is to minimize the total rental cost to meet space requirements. (a) Formulate a linear programming model for this problem (b) Solve this model by the simplex method