A factory produces three products P, Q and R. Each product passes through three departments, which are fabrication, finishing and packaging. Each unit of product P requires 2, 4 and 2 hours respectively, Q requires 2, 4 and 5 hours respectively, while R requires 4, 3 and 4 hours respectively in 3 departments. In a day, 70 hours are available in fabrication department, 60 hours in finishing department and 100 hours in packaging department. The contribution of profit of each product are RM 12, RM 15 and RM 22 per unit respectively. The factory wishes to determine the product mix that will maximize the total profit. a) (i) Formulate a linear programming model. (ii) Solve the problem by using simplex method. (1) Obtain the optimal product mix and the maximum total profit.

Q: The "student" was given a recipe for four people and asked to convert the recipe for 8 people. What…

A: Step 1: The student bhas incorrectly calculated the amount for the following:…

Q: 5. Solve 38+3 – 38+2 = 1458

A:

Q: 2. Solve for B. 30m 18m 22m

A: It is given that,            We have to find B.

Q: Solve 30 – 2 = 4 for w.

A: we have to solve the given equation3w-2=4 for w

Q: Solve 11x - 7 = 7x + 13.

A:

Q: 2. ४ Solve. 3 - x < 14

A:

Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: 4. A student must answer exactly seven questions out of twelve on the final exam. In how many ways…

A: We have to find the number of ways she can choose to answer the questions.

Q: 4) Translate the following statement into an equation: 3 times the sum of a number and 10 is equal…

A: statement -3 times the sum of a number and 10 is equal to 7 less than the product of 11 and the…

Q: 3) V3x – 20 + 2 = 4

A:

Q: y = 522 + 12 + 6 4x + y = 3

A:

Q: 28 = 4.r

A: Given: 28 = 4.r       To determine: value of r

Q: Two less than twice a number is ten.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.