a) Optimal solution
b) Constraints having slack/surplus equal to 0 are binding, otherwise non-binding
c) Slack/surplus is the number of units
d) Allowable increase in coefficient of variable D is 8, which means it be increased up to 135(=127+8) without changing the optimal solution. 142 is within the limit, so changing the coefficient to 142 will not change the optimal solution.
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, 91, and $127, respe...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $67, $93, and $129, respectively. The production requirements per unit are as follows: Number of Manufacturing Number of Cooling Coils Time (hours) Fans Economy Standard 12 Deluxe 14 For the coming production period, the company has 250 fan motors, 360 cooling coils, and 1800 hours of manufacturing time available. How many economy models (E),...
Problem 3-12 (Algorithmic) uality Air Conditioning manufactures three home air conditioners: an economy mode a standard model and a deluxe mo e The profits per nit are S,, 4 , and respectively. The production requirements per unit are as follows: Number of Number of Manufacturing Cooling Coils Time (hours) Fans Economy 8 Standard 12 Deluxe 4 14 For the coming production period, the company has 320 fan motors, 380 cooling coils, and 3200 hours of manufacturing time available. How many...
Problem 3-13 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 240 fan motors, 380 cooling coils, and 2500 hours of manufacturing...
An Air Conditioning manufactures three varieties of home air conditioners: an economy model, a standard model, and a deluxe model. The profit per unit is SAR 63, 95, and 135, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 200 fan motors, 320 cooling coils, and 2400 hours of manufacturing...
12. a-d and 13. a-d 12. Quality Air Conditioning manufactures three home air conditioners: an cconomy model a standard model, and a deluxe model. The profits per unit are S63-995, and $135, np tively. The production requirements per unit are as follows Number of Fans Number of Cooling Cods Manufacturing Time hours Standard Deluxe 12 14 For the coming production period, the company has 200 fan motons, 320 cooling coils and 2400 hours of manufacturing time available. How many ecconomy...
2. In a Air Conditioning manufacturing problem, the firm is maximizing the profit by selling three different products. Linear programming model for this problem will be as follows: Decision Variables: E := Number of economy models to be produced S := Number of standard models to be produced D := Number of deluxe models to be produced Linear Program: max 68E + 86S + 118D s.t. E + S + D ≤ 230 (Fan Motors) E + 2S + 4D...
Performance Cooling Inc. manufactures air conditioners for home use and they currently have three models serving this market: (1) the essential model, (2) the comfort model, and (3) the majestic model. The units sell for reasonable prices and bring in a profit of $63, $95, and $135 respectively. Currently, the resources required for production of each unit is given in the table below. Fans Cooling Coils Assembly Time (hr) 1 8 1 2 12 Essential Comfort Majestic In Stock/Available 1...
1 2 12 1 14 Performance Cooling Inc. manufactures air conditioners for home use and they currently have three models serving this market: (1) the essential model, (2) the comfort model, and (3) the majestic model. The units sell for reasonable prices and bring in a profit of $63, 995, and $135 respectively. Currently, the resources required for production of each unit is given in the table below. Fans Cooling Coils Assembly Time (hr) Essential 8 Comfort Majestic In Stock/Available...
If the per unit profit associated with producing the standard glove were to increase by $3 a pair, what would the impact be on the total profit? Obje ctive Cell (Max) Original Value Final Value Cell Name $B54 Obje ctive Function (Maxim ize Profit) 218 Variable Cells Integer 18 Contin 16 Contin Original Value Final Value Cell Name $B$1 X1(#of standard gloves) $852 X2(#of deluxe gloves) Constraints Cell Cell Value Formula Status Slack Name $B$8 1) Constraint#1 (le ather cutting...