O000 ms regular, 2000 hrs overtime 5. (15 points) The Santa Cruz Surf shop makes

Question

O000 ms regular, 2000 hrs overtime 5. (15 points) The Santa Cruz Surf shop makes surfboards to meet the demand for the next four quarters. Up to 240 surfboards can be made each quarter using regular labor for $600/board and an additional 60 surfboards each quarter can be made using overtime labor for $660/board. Boards produced in one quarter O/quarter for use in a later quarter. Formulate a model (but do not solvejfor determining the optimal production and storage schedule for meeting the quarterly demands given in the table below, while minimizing the overall cost (regular and overtime production plus storage). Qtr 1 Qtr 2 Qtr 3 Qtr 4 Demand 190 320 340 230

Explanation / Answer

Let x be the regular production and y be the overtime production per quarter.

So, the minimizing function per quarter:
Z = 600x+660y+40

subject to constraints:

quarter 1: x+y <= 190
y<=60

quarter 2: x+y <= 320
y<=60

quarter 3: x+y <= 340
y<=60

quarter 4: x+y <= 230
y<=60

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