What is the correct option please? The constraints and the objectives that are used to "reduce the amount of overtime for bothmachines per day", are:O a. Minimize s, +s + s, + s,5x1 + 6x2 + 4rz +7x4+ s,– 8 = 6003x1 + 2x2 + 5xz + 4x4 + s,b. Minimize >18,8 = 6005a1 + 6x2 + 4rz + 7x4 +s, - 8, = 6003x1 + 2x2 +5x3 + 4x4 + s,600O c. Minimize s, +s5x1 + 6x2 + 4x3 +7x4 + 8,-8 = 10O d. Minimize s, + s,3x1+2x2+5r3 + 4x4 + s, - 8, = 600O e. Minimize 1 s5æ1 + 6x2 + 4r3 + 7a4 + 8, - s = 6003x1 + 2x2 +5r3 +4x4 + s, – s, = 60048%77°F Sunny 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 press3234474.Additionally, 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)2556

Answered: Image /qna-images/answer/52a379ab-da58-49fe-93c3-3ad1e654b55d.jpg

The constraints and the objectives that are used to "reduce the amount of overtime for both machines per day", are: O a. Minimize s, +s+ s, +s, 521 + 6x2 + 4r, +7r4+s,- s = 600 3x1 + 2x2 + 5xz + 4x4 + 8, b. Minimize Ei-1 $ 521 + 672 + 4rz + 7x4 + s, – s 3x1 +2x2 + 5I3 + 4x4 + 8, 600 600 600 Oc. Minimize s, + s 521 + 6x2 + 4x3 +724+ s,-s = 10 Od. Minimize s, + s, 3x1 + 2x2 + 53 + 4x4 + s, – 8, = 600 O e. Minimize Ei-1 $ 5x1 + 6r2 + 4ra + 7x4+ s, -s = 600 3x1 +2r2 +5x3 + 4x4 + 8, 600 %3D 48% 7IF Sunny