Question

B D E G H M 7. Billy D. is a manager for musical groups. Billy is working on marketing material and has been presented with the following K information about two different products that can be used for printing. The box with T-shirts (T) is less expensive to buy and costs $15.00. The box of caps costs $22.00. Billy's boss asks him how many boxes should they buy of each product to MINIMIZE the costs, subject to the following constraints such as hours: (3 points each) 2 MIN 15T + 22C 3 s.t. A 8T + 4C 200 5 2T 7C + 180 10T 6 150 120 7 6C T,C 8 Al VI A Al A m noNo g. Which constraints are binding? h. What is the dual value for constraint 3? Interpret the dual value. i. If Billy's manager tells him the next day that they actually can increase the value of constraint 3 to 200, what would change? Why? 4 5 i.What is the range of optimality for T-Shirts and caps? 26 27 28

Answer 1

8.00 bindiny Follawing canstranf aYe 9.00 ST4C200 1OT 150 6S120 10.00 11.00 h) Dual value for Constraint 3 is 1.5 TE meon te objective function value widlincreoe decveae by A.5 for each unitincrcadecyeef Constsant 3wist allowasle icyepe and alouasle decreae linit 12.00 100 200 iobjectivefiunction vale wie iceae by 50 S Landpee vahee wi b665 40 ay increupe d50 iwi allowable incyese limit yo tr Shadea 3.00 400 price will euai alid 5.00 )T-Shirs Lowey ouge doptimaliy uppev ouydoptimali= Infi nity Copt Lowty ane optimelity ppeanefeptipuli ly- Intinity 6.00 OZ=JFJT 700 22-22 >O CamScanner