An Ephesus Manufacturing Company among famous chip producer companies, produces two types of chips called as...

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An Ephesus Manufacturing Company among famous chip producer companies, produces two types of chips called as ChipXX and ChipXY. The ChipXX model use three component T and no component Z, whereas the ChipXY models use two component T and one component Z. Both of the chips use cases (one per each). The weekly capacities of the suppliers are 1200 component T, 750 component Z, and 550 cases available to Ephesus Manufacturing Company. Additionally, it takes one and half hour to produce a ChipXX and its profit is $250 while it is two and half hours to manufacture a ChipXY and its profit is $320 per each. Priority Level 1 (P1): I Goal 1 (G1): Produce at least 280 ChipXX per each week. • Goal 2 (G2): Produce at least 420 chips per each week. Priority Level 2 (P2): Goal 3 (G3): Have at least $380,000 on profit. • Goal 4 (G4): Have no more than 440 man-hours/week. Regarding to the contracts with the suppliers, if the number of chips is less than 420, $2 per chip will be paid and if total man-hours is more than 440, $1.5 per chip will be charged. And, if the company reaches a profit less than its target, there will be $1.5 additional fee. Based on these, formulate the GP model computing how many ChipXX and ChipXY can be produced. An Ephesus Manufacturing Company among famous chip producer companies, produces two types of chips called as ChipXX and ChipXY. The ChipXX model use three component T and no component Z, whereas the ChipXY models use two component T and one component Z. Both of the chips use cases (one per each). The weekly capacities of the suppliers are 1200 component T, 750 component Z, and 550 cases available to Ephesus Manufacturing Company. Additionally, it takes one and half hour to produce a ChipXX and its profit is $250 while it is two and half hours to manufacture a ChipXY and its profit is $320 per each. Priority Level 1 (P1): I Goal 1 (G1): Produce at least 280 ChipXX per each week. • Goal 2 (G2): Produce at least 420 chips per each week. Priority Level 2 (P2): Goal 3 (G3): Have at least $380,000 on profit. • Goal 4 (G4): Have no more than 440 man-hours/week. Regarding to the contracts with the suppliers, if the number of chips is less than 420, $2 per chip will be paid and if total man-hours is more than 440, $1.5 per chip will be charged. And, if the company reaches a profit less than its target, there will be $1.5 additional fee. Based on these, formulate the GP model computing how many ChipXX and ChipXY can be produced.

Answer rating: 100% (QA)

To formulate the goal programming GP model for this problem we need to define decision variables con... View the full answer