On 1, you have a production time constraint equalling cost on the left, that makes no sense.
On 2, Itlooks right, but I cant verify the unit costs.
On 3,4,5,6 they are correct.
I need help creating the constraints.
Quick-Screen is a clothing manufacturing company that specializes in producing commemorative shirts immediately following major sporting events such as the World Series, Super Bowl, and Final Four. The company has been contracted to produce a standard set of shirts for the winning team, either State University or Tech, following a college football bowl game on New Year’s Day. The items produced include two sweatshirts, one with silk-screen printing on the front and one with print on both sides, and two T-shirts of the same configuration (i.e. one with front only print and the other with print on both sides). The company has to complete all production within 72 hours after the game, at which time a trailer truck will pick up the shirts. The truck has enough capacity to accommodate 1,200 standard-size boxes. A standard-size box holds 12 T-shirts. A box of 12 sweatshirts is three times the size of a standard box. The company has budgeted $25,000 for the production run. It has 500 dozen blank sweatshirts and T-shirts each in stock, ready for production.
• sf = number of units of Sweatshirt – Front to produce
• sb = number of units of Sweatshirt – Back to produce
• tf = number of units of T-Shirt – Front to produce
• tb = number of units of T-Shirt – Both Sides to produce
Constraints (so far what i have done)
1. $.10Xsf + .25Xsb + .08Xtf + .21Xtb ≤ 72 hours (Production hours)
2. $36Xsf + $48Xsb + $25Xtf + $35Xtb ≤ $25,000 (Production cost)
3. Xtf + Xtb + 3(Xsf+Xsb) ≤ 1200 boxes (Total capacity in truck)
4. Xsf + Xsb ≤ 500 (Available sweatshirts)
5. Xtf + Xtb ≤ 500 (Available t-shirts)
6. Xsf + Xsb + Xtf + Xtb ≥ 0 (non-negativity condition)
Is this correct??
1 answer