//principles of management research.

a.In detailselucidate thesolutions to linear perograming models?

b.discuss two methods of solving linear programming modelswith examples ?

c.use simplex method to solve the following linear programming model

Max Z=3x1+5x2 =4x3

subject to

2x1+3x2<8

2x1+5x2<10

3x1+2x2+4x3<15

and x1=x2=x3>0

write in standard form hence solve [15 marks}

d.highlight the steps followed in formulating linearprogramming models ,explain the terminologiesand discuss the applications of LINEAR PROGRAMMING[DO NOT COPY }

e}SERIAL MANUFUCTURER IS INVESTIGATING THE POSSIBILITY OF INTRODUCING A NEW SERIAL .THE NEWSERIAL WOULD BE COMPOSED OF WHEAT RICE AND CORN .THE COST PER OUNCE AND DIETARY REQUIREMENTARE SHOWN BELOW

WHEATRICECORNREQUIREMENTS PER 120OUNCES

PROTEIN422ATLEAST 27GRAMS

CARBOHYDRATES202521ATLEAST 240 GRAMS

CALORIES90110100NO MORE 1260 CALORIES

COST PER OUNCE0.03POUND0.05 POUND0.02 POUNDS

FORMULATE A LINEAR PROGRAMMING MODELFOLLOWIG THE HIGHLIGHTED STEPS