CASE 2: ALVIMA food complex PLC is producing MAWEL pasta (X₁) and PRIMA macaroni (X₂). The firm's manager is interested to minimize the total cost of production while she is at the same time interested in producing 36,000 tons/week of X₁ and X₂ that use same raw materials. Given that the firm has the following Total Cost (TC) function/week: TC = 2000x²- 1000xy + 3000y²

i.Determine the combinations of X₁ and X₂ that will minimize the TC of ALVIMA food complex PLC

ii.Find out the TC of producing X₁ and X₂