# please may you resolve the two question a full answer thanks

**Question description**

–Taha, Exercise Set 2.2a, #9: Define decision variables, objective function and constraints, and solve graphically.

9.) ChemLabs uses raw materials *I* and *II* to produce two domestic cleaning solutions, A and B. The daily availabilities of raw materials *I* and *II* are 150 and 145 units, respectively. One unit of solution A consumes .5 unit of raw materials *I* and .6 unit of raw material *II*, and one unit of solution B uses .5 unit of raw material *I* and .4 unit of material II. The profits per unit of solutions A and B are $8 and $10, respectively. The daily demand for solution A lies between 30 and 150 units and that for solution B between 40 and 200 units. Find optimal production amounts of A and B.

–Taha, Exercise Set 2.4e, #4: Formulate the problem only. Define decision variables, objective function and constraints. You do NOT need to solve the problem; formulate only!

4.) A refinery manufacturers two grades of jet fuel, F1 and F2, by blending four types of gasoline, A,B,C and D. Fuel F1 uses gasolines A,B,C and D in the ratio 1:1:2:4 and fuel F2 uses the ratio 2:2:1:3. The supply limits for A,B,C and D are 1000,1200,900,and 1500 bbl/day ,respectively the cost per bbl for gasolines A,B,C,and D are $120, $90 , $100 and $150, respectively. Fuels F1 and F2 sell for $200 and $250 per bbl, respectively. The minimum demand for F1 and F2 is 200 and 400 bbl/day, respectively. Develop an LP model to determine the optimal production mix for F1 and F2 and find the solution using AMPL, Solver or TORA.

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors