QUESTION : 1

QUESTION 2

QUESTION 3

QUESTION 4

Consider the following LP problem. A company produces three types of material. coal, silver, gold. The data of production and profit are summarized in the table below. Coal Silver Gold Available Working Hours 6 1 3 Extraction Cleaning Finishing Profit ($) 5 7 2 7 325 180 90 1 7 22 3 12 C4: Total production of "Gold' must not exceed 30% of that of the production of "Coal & Silver" together C5: "Coal" production must be at least 2 ton per day The decision variables of the the above problem are defined as 3 points x1 = amount of "Coal" produced; x2 = amount of "Silver" produced; x3 = amount of "Gold" produced x1 = number of hours consumed in the 'extraction department, x2 = number of hours consumed in the cleaning department; x3= number of hours consumed in the "finishing department None of the answers. O x1 = amount of "Coal" produced, x2 = number of hours consumed in the cleaning department; x3= number of hours consumed in the finishing" department. The objective function is written as 3 points maximize z = 7x1 + 12x2 +22x3 maximize z = 325x1 + 180x2 + 90x3 O minimize z = 325x1 + 180x2 + 90x3 minimize z = 7x1 + 12x2 +22x3 None of the answers. The "extraction" constraint is written as 5x1 + x2 + 6x3 S 325 5x1 - x2 + 6x32 325 5x1 - x2 + 6x3 0 Constraint "C5" is written as: Ox222 None of the above. . x1 2 2 x252 0x152 The variable condition is written as x(i) = {0,11 x(1)20 x(i)50 x(i)= {1,2,3) )