Daisy Drugs manufactures two drugs: 1 and 2. The drugs are produced by blending two chemicals: 1 and 2. By weight, drug 1 must contain at least 65% chemical 1, and drug 2 must contain at least 55% chemical 1. Drug 1 sells for $6/oz, and drug 2 sells for $4/oz. Chemicals 1 and 2 can be produced by one of two production processes. Running process 1 using 4 hours of skilled labor yields 3 oz of each chemical. Running process 2 using 3 hours of skilled labor yields 3 oz of chemical 1 and 1 oz of chemical 2. Atotal of 120 hours of skilled labor is available. Formulate an LP that can be used to maximize Daisy's sales revenue.

model winstP3_9_6 "P r oduc ti on P r o c e s s ( Daisy Drug ) ";

set

drug :=[ 1..2];

chemical :=[ 1..2];

process :=[ 1..2];

parameter

PercentReq{drug, chemical} := [0.65, 0, 0, 0.55];

Price{drug} := [6, 4];

LaborUse{process} := [2, 3];

RawMatUse{process} := [3, 2];

ChemicalYield{process, chemical} := [3, 3, 3, 1];

LaborAvail := 120;

RawMatAvail := 100;

variable

RunProcess,R{process};

Blend,B{chemical,drug};

constraint

LaborLimit: sum{process} LaborUse*R <= LaborAvail;

RawMatLimit: sum{process} RawMatUse*R <= RawMatAvail;

ChemBalance{chemical}: sum{process} ChemicalYield*R >= sum{drug} B;

RequireChem{drug,chemical|PercentReq>0}: B >= PercentReq*(sum{

chemical} B);

maximize TotalRevenue: sum{chemical,drug} Price*B;

Writep(TotalRevenue);

end

Step-by-step explanation:

The formulated LP (linear programming) model is shown in the answer section. In order to maximize the revenue sales, it is essential to consider all the necessary factors such as the constraints, variables, production cost, availability of customers and customers' preferences. These factors was used to design the LP model shown above.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

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step-by-step explanation:

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