YOu are loggA manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each The tprovides the time in minutes required by each partredf1 00Production time in minDrill pressstionProductLathe5.3.44.7.Additionally, the number of units of part 1 may not exceed that of part 2Assuming that z, number of units need to be produced from product i, wherei e {1,2,3,4)The constraints and the objectives that are used to "reduce the amount of unutilized time for both machines per day", areSelect oneMinimizeSz, + 6z2 + 4z, + 7x +s,-8 6003z, + 2r2 + 5z3+4r+ 8,- 8 = 600Minimize s +83z, +2r2+ 5a + 4r,+ 8 - 8- 600Minimize s, +s+ 8 + 8Sz, +6rz +4r3 + 72, + s,-s = 6003r, +2r2+5z +4z, + s,- 8 = 600Minimize s, + s52, +6z2 + 4z3 + 74 + 8,- s= 10Minimize5z, + 62 +43 + 7z4+s,--6003z, +2z + 5z3 + 4 + 8,8- 600 A manufacturing company produces fourparts that require the use of a lathe and a drillpress. The two machines operate 10 hours aday each. The following table provides thetime in minutes required by each part:Production time in minProductLatheDrill press1363Additionally, the number of units of part 1may not exceed that of part 2.Assuming thatX; : number of units need to be produced from product i, wherei e (1,2,3,4)The constraints and the objectives that areused " to balance the two machines bylimiting the difference between their totaloperation times to at most 30 minutes",are:Select one:Minimize si +s+s +s5x + 6x2 + 4x3 + 7x4 +s-st = 303x + 2x2 + 5x3 + 4x4 + s- s = 30Minimize E s +s2x +4x2-x3 +3x4 + s-s 30- 2x - 4x2 + x3 - 3x4 +s-s 30Minimize Σ5x +6x +4x3 + 7x4+s-st 303x +2x2 +5x3 + 4x4 +s-s 30Minimize s, + s3x + 2x2 +5x3 +4x4 + s-s = 30Minimize s + s5x + 6x2 + 4x3 + 7x4 +s-st= 30

SOLUTION: Let us assume Xj - number of Part-j to be produced : for j=1,2,3,4. let di+ and di- -the…

Answered: A manufacturing company produces four…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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