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The VELOON company specializes in the manufacture and sale of laptops. It makes its forecasts by quarter. Its sales, like those of its competitors,

 

The VELOON company specializes in the manufacture and sale of laptops. It makes its forecasts by quarter. Its sales, like those of its competitors, are strongly influenced by seasonality. Each year, the third quarter represents are 30% 1.5 of annual sales. During the second quarter sales times lower than in the third quarter. The first and fourth quarters share the rest of the sales, but fourth quarter sales, boosted by the Chritsmas holidays, are higher than those in the first quarter. 4 times We are at the end of the year N and Georges RICHMOND the head of the sales department proudly announces: "I have just finished the sales forecasts for the year N + 1, they promise to be excellent. In N we have nevertheless achieved a great year by selling 565,000 laptops, but these will only represent of the sales I expect for N + 1 !!!* 80% 106,250 On January 1, N + 1, opening inventory is equal to VELOON wishes to reduce this inventory to 100,000 at the end of the year N+1, which constitutes the minimum inventory of the company given the production constraints. Although production is largely automated, manufacturing a computer requires labor costs 15 minutes of direct labor. One hour of direct 40 (the workers are paid on a fixed basis). The number of available direct labour hours per quarter is 52,968.75 If this number were not sufficient to achieve the production of a quarter, overtime could be done at a unit cost standard hour. Quaterly storage cost is 50% laptops. higher than that of a 6.00 per laptop. The total storage cost for one quarter is calculated on an average basis (average between the opening and closing inventory of the quarter). Questions: 1) Determine the percentage of sales for each quarter. 2) Work out the sales program for year N + 1 by quarter. 3) Calculate the cost in case of regular production. 4) Calculate the cost in case of just in time production (to decrease the inv- entory to 100,000 laptops from the end of the first quarter N + 1). 5) Could you propose a better solution? 6) How high should have been the cost of storing a laptop per quarter so that manufacturing them overtime costs the same as moving their production to another quarter?

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