Include all of your answers in SINGLE dooument and attaoh that document at the e
ID: 379890 • Letter: I
Question
Include all of your answers in SINGLE dooument and attaoh that document at the end of the exam Label each nr clearly Please begin eaoh problam on a neww page. Point values are indioated in the queation body below. Pro lem omp-Ma on users assemo es oor ouers and como rer oc o ent t s about oo sart producon o mee new t pes o oor u ers calea model and reoDoct vely. Eacn 7 pe wl ea ro asoon y tr e soecon: me, and sorage space. The avalabiny ot oach o meso rea ouces simted. Spec%ody ava ao+ 8sser by t m he s CO hours, ava a ns ect on time i 44 hors and a alabè st rage space 78 aic fee about 2 2 cube eoers The a,ant of each esource equred for the d erere p oducts 8 eponed in 7 e table beow. Model A eens a poft of S80 per o el earns a pro t of $60 per unk, a d model c earns protc o S45 por un uo 10 so ne pror agroe anns with ou o mors, Como Max mus roo co a: oast 5 modal A oomputarg in addion, manago mont req N:hac me tracton ot 10ta production made up of model C computa s must not a coed 25% Resource Requirements Assembly time Inspection time Storage space Model hrs unit(cu. ft/unit) B. 10 Formulate a inear program LP*) wil hep the manager deeerm ne the quar ty of each model to produce in Order mo mie e profit (Note: Yu do not have so sove the LP JA: mare it a. Detine he decision ariables for tsprobiem 1 ps b We out the objective factios for is pob em in terms of the decsen variabes defined above ps) c) Write out ary constraints necessary for ths problem in terms of the decision var atbles defined above. [10 pts)Explanation / Answer
a) Decision variables:
Let A,B,C represent the number of units of product A, B and C resp to be produced
b) Objective function:
Max 80A+80B+45C (profit maximization)
c) Constraints:
8A+4B+10C <= 200 (assembly time - hours)
3A+2B+1C <= 44 (inspection time - hours)
2A+3B+3C <= 78 (storage space)
A, B, C >= 0