Questions :

a. Complete the Optimal Table and explain (explain the shadow price and how much P1, P2 and P3 are produced)

b. Determine the Linear Program (Objective Function and Constraint Function)

c. Raw materials A and B are added 5 and 8 kg respectively, P2 is produced 10 units, determine how many P1, P2 and P3 will be produced. And determine the maximum profit.

d. The company will manufacture the P4 for a profit of $13/unit. The www raw materials are A, B and C where the use of raw materials is 3, 2 and 2 (kg). www Was P4 produced?, if produced how many P1, P2, P3 and P4 were produced?

Instructions If the table below is an optimal table: where: x1, x2, x3 respectively represent the number of P1, P2 and P3 to be produced (units). The objective function is to maximize profit ($), Constraints I, II,III respectively state the availability of Raw materials A, B and C(kg). S S and S represent the remaining Raw Materials A, B and C, respectively (kg).

12. Optimal table as follows: 7 9 0 0 0 ETC X1 solution x2 X3 $1 $2 S3 E-ci x1 0.00 x3 1.00 2.00 -1.00 -1.00 1.00 1.00 -2.00 30.00 165.00 15.00 S3 -1.00 12. Optimal table as follows: 7 9 0 0 0 ETC X1 solution x2 X3 $1 $2 S3 E-ci x1 0.00 x3 1.00 2.00 -1.00 -1.00 1.00 1.00 -2.00 30.00 165.00 15.00 S3 -1.00