Operations Research Answers

a company manufactures two kinds of ice cream. the vanilla ice-cream sells for $2.50 each while the chocolate flavor ice-cream sells for $4.50 cents each. it costs the company 1 labor hour to make the vanilla flavor ice-cream and 2 labor hours to make the chocolate flavor ice-cream. the company has a total of 300 labor hours available. it costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. the company has a total of 400 machine hours available. how much of each type of ice-cream should the company produce to maximize the revenue? what is the maximum revenue? [ Hint: let vanilla ice-cream = x ]

1 Maximize z = 3a + b + 2c Subject to: 1. a + b + 3c  30 2. 2a + 2b + 5c  24 3. 4a + b + 2c  36 4. a,b,c  0 NB : a= Computers b= Network devices c= IP cameras Z= Performance -Numbers are costs. The problem above consist of maximizing the performance of our computer network by reducing the total cost.

a company manufactures two kinds of ice-cream. the vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream seels for $4.50 cents each. it costs the company 1 labour hour to make the vanilla ice-cream and 2 labour hours to make the chocolate flavour ice-cream. the company has a total of 300 labour hours available. it costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate flavour ice-cream. the company has a total of 480 machine hours available. how much of each type of ice-cream should the company produce to maximize revenue? what is the maximum revenue? [ hint: let vanilla ice-cream = x]

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while

the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to

make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream.

The company has a total of 300 labour hours available. It costs the company 3 machine hours for

the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total

of 480 machine hours available. How much of each type of ice-cream should the company

produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]

Two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue?

For the following LP problem, graph the region of feasible solution and solve by the corner-point method.


Maximize z = 5x1 + 8x2

Subject to x1 + x2 ≥ 6

3x1 + 2x2 ≤ 30

2x1 + x2 ≤ 5

x1 , x2 ≥ 0

Check whether the following sets are convex or not: i) S1 = {( x, y)| y - 3 ≤ -(x^2), x ≥ 0, y ≥ 0}

ii) S2 = {(x, y)| y - 3 ≥ -(x^2), x ≥ 0, y ≥ 0}

Given the constraints

A+B+C<or=24,B+C>or=8and A>or=0,C>or=0.

Maximize24-A-B


A:amount of time spent on schoolwork

B:amount of time spent on fun

C: amount of time spent on pay work