(a)Explain the conditions thatguarantee you to use the big – M method or the two phase method insolving the linear programmingproblem.                     (b)Explain the significance of thefollowing variables with examples: (i)Slackvariables                                                                               (ii)Surplusvariables                                                                         (iii)Artificialvariables                                                                           Old hens can be bought for K 2 each but young ones cost K 5each. The old hens lay 3 eggs per week and young ones 5 eggs perweek, each egg being worth 30 ngwee. A hen costs K 1 per week tofeed. If a person has only K 80 to spend on the hens, how many ofeach kind should he buy to get a profit of more than K6 per weekassuming that he cannot house more than 20 hens
? Use theBig M-Method to solve the problem Attached