please do exercies #9 and #4

FratBro23
Category:
Economics
Price: $5 USD

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.


Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1822 tutors are online

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