Homework Answers
Answer a= Decision variables are stated as below=
x1, x2 , x3 = the number of pounds of ingredient A, B and C for standard fertilizer
x4, x5 , x6 be the number of pounds of ingredient A, B, and C for premium fertilizer
Answer B= The objective function is to minimize the total cost
Min z= 10*(x1+x4) +12*(x2+x5)+18*(x3+x6)
Answer C= The constrants are as below=
x1+x2+x3+x4+x5+x6 
500 ( for minimum quantity)
0.3x1+0.3x2+0.4x30.35
( nitrogen requirement for standard fertilizer)
0.4x4+0.3x5+0.3x60.35
(chlorine requirement for spremium fertilizer)
x1,x2,x3,x4,x5,x60
Add Answer to:
4. A company blends three ingredients A, B, and C to form two types of fertilizers,...
Problem 3. A fertilizer company blends silicon and nitrogen to produce two types of fertilizers. Fertilizer...
Problem 3. A fertilizer company blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 50% nitrogen and sells for $77.00 per pound. Fertilizer 2 must be at least 70% silicon and sells for $55.00 per pound. The company can purchase up to 8,000 pounds of nitrogen at $22.00 per pound and up to 10,000 pounds of silicon at $16.00 per pound. Assuming that all fertilizer produced can be sold, create a linear programming...
An oil company makes two blends of fuel by mixing three oils. Figures on the costs...
An oil company makes two blends of fuel by mixing three oils. Figures on the costs and daily availability of the oils are given in the table below Oil Cost ($/litre) Amount available (litres) A 0.35 7,000 B 0.50 8,000 C 0.45 12,000 Also the requirements of the blends of fuel are given in the table below Blend 1 At least 30% of A At most 50% of B At least 30% of C Blend 2 At most 40% of...
5. Charming City Foods manufactures a snack bar by blending two ingredients: a nut mix and...
5. Charming City Foods manufactures a snack bar by blending two ingredients: a nut mix and a granola mix. Information about the two ingredients (per ounce) is shown below Ingredient Nut Mi:x Granola Mix Cost In Dollars 0.90 0.50 Fat Grams 24 4 Calories 650 60 Protein Grams The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack bar. The blend should contain no more...
The Surest Concrete Company produces cement in a continuous process. Two ingredients in the cement are sand,...
The Surest Concrete Company produces cement in a continuous process. Two ingredients in the cement are sand, which Surest purchases for $8 per ton, and gravel, which costs $10 per ton. The other ingredients are lumped together and referred to as “Other”. The cost of the other ingredients is $7 per ton. No more than 40 percent of the cement can be sand, and at least 30 percent of the cement must be gravel. The maximum amount of gravel available is 100 tons. The...
7.1) Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of the...
7.1) Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard model, while the other is the Deluxe model. The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40. The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes...
A company wants to determine how many units of each of two products, A and B,...
A company wants to determine how many units of each of two products, A and B, they should produce. The profit on product A is $50 and the profit on product B is $45. Applying linear programming to this problem, which of the following is the objective function if the firm wants to make as much money as possible? Maximize Z = A/45B + B/50A Minimize Z = 50 A + 45 B Maximize Z = A + B Minimize...
A garden shop mixes two types of grass seed into a blend. Each type of grass...
A garden shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table below. Type I seed costs $3.20 per pound and Type II seed costs $4.30 per pound. If the blend needs to score at least 600 points for shade tolerance, 650 points for traffic resistance, and 900 points for drought resistance,...
Please show the steps clearly 1. A company is involved in the production of two items...
Please show the steps clearly
1. A company is involved in the production of two items (X and Y). The resources need to produce X and Y are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of minutes required for each item: Table 1: Minutes required for each item Item Machine time Crafstman time Item X 13 20 Item Y 19 29 The company has 40 hours of machine...
#5 urgent need now Linear Programming: 4. Kings Department Store has 625 nubies, 800 diamonds, and...
#5 urgent need now
Linear Programming: 4. Kings Department Store has 625 nubies, 800 diamonds, and 700 emeraids from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds Kings will net a profit of S250 on each bracelet, which is made with 2 nubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5...
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The cos...
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio 600 300 2,000 Cost per advert Audience per advert 100, 000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should...
Problem 3. A fertilizer company blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 50% nitrogen and sells for $77.00 per pound. Fertilizer 2 must be at least 70% silicon and sells for $55.00 per pound. The company can purchase up to 8,000 pounds of nitrogen at $22.00 per pound and up to 10,000 pounds of silicon at $16.00 per pound. Assuming that all fertilizer produced can be sold, create a linear programming...
5. Charming City Foods manufactures a snack bar by blending two ingredients: a nut mix and a granola mix. Information about the two ingredients (per ounce) is shown below Ingredient Nut Mi:x Granola Mix Cost In Dollars 0.90 0.50 Fat Grams 24 4 Calories 650 60 Protein Grams The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack bar. The blend should contain no more...
7.1) Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard model, while the other is the Deluxe model. The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40. The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes...
Please show the steps clearly
1. A company is involved in the production of two items (X and Y). The resources need to produce X and Y are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of minutes required for each item: Table 1: Minutes required for each item Item Machine time Crafstman time Item X 13 20 Item Y 19 29 The company has 40 hours of machine...
#5 urgent need now
Linear Programming: 4. Kings Department Store has 625 nubies, 800 diamonds, and 700 emeraids from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds Kings will net a profit of S250 on each bracelet, which is made with 2 nubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5...
The advertising alternatives for a company include television, radio, and newspaper ad- vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio 600 300 2,000 Cost per advert Audience per advert 100, 000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should...
Most questions answered within 3 hours.
-
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 9 minutes ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 59 minutes ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 1 hour ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 3 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 3 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 4 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 5 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 5 hours ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 5 hours ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 5 hours ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 6 hours ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 6 hours ago