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