An Economic Model for Shipping and Disposal of Waste

a. Cost of disposal of hazardous waste materials to a chemical plant. Direct Product Costs

 a. What is each owner’s minimum supply-price of 10 rides a day? At the minimum supply price of $15, Rick determines to supply 10 rides a day

Production Volume The Fig 1.1 Graph representing Fixed Cost, Total Cost, Total Revenue & Break Even Volume.

c) Determine the quantity demanded, the quantity supplied and the magnitude of the shortage if a price ceiling of $32 is imposed in this market.

Further it is given that the proportion of Brand I should be between 40% and 60%. The corresponding constraint becomes [pic]

We have the given details like the objectives of making profit of $2.25 per yard for denim and $3.10 for yard of Corduroy and constraints of processing time of 3.2 hour for Corduroy and 3 for Denim, 6500 pounds of total cotton and 3000 hours of processing time and the demand is unlimited for Denim and 510 maximum for corduroy. By table above details,

Let Xij i=1,2,3,4,5,6; j =1,2,3 denote the quantity of waste transported from i-th plant to

Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units, and ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredients each contribute 1 unit per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. Formulate a linear programming model for this problem. Consider the following linear programming problem: Maximize Z = 300 x1 + 500 x2

The unit transportation costs (in $) for shipments from the two plants o the two warehouses and from the two warehouses to the three distributors are as follows:

The Stateline Shipping and Transport Company wanted to transport chemical wastes from the six plants to the three waste disposal sites. The six pants and their capacity for wastes generated are shown below. Also shown are the three waste disposal sites and their demand requirements.

[pic]= Number of Barrels transported per week from plant ‘i’ to the j-th waste disposal site, where i = 1, 2, 3, 4, 5, 6 and j = A, B, C.

29. Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming

If Darby Company drops the shipping limitations and allows any distribution center to supply to any customer zone for which they have shipping information, their total cost would be reduced to $600,942, which is a savings of $19,828 or 3.2%. By putting the above information into the objective function, the distribution plan without restrictions reduces the cost of shipping to $177,712 – a savings of $16,888. In addition, this new plan allows the company produce more of its meters at its more cost efficient San Bernardino plant – in fact, under this plan it produces at capacity, which is 20,000 units, meaning that its cost of manufacturing is $200,000. These units are then shipped to Las Vegas. The El Paso plant produces 14520 units for the Ft. Worth center and only 6740 for the Santa Fe center. The cost of manufacturing these units are $152460 and $70,770 respectively, making the cost at the El Paso plant $223,230. Adding all these costs together gives us the total cost as such: $177,712 + $200,000 + $223,230 = $600,942. This plan allows more than one center to supply to a specific zone and the solution shows that this is the case for the San Diego customer zone. The Santa Fe center supplies 620 units to them and the Las Vegas center supplies the other 3,840, satisfying their 4460 demanded units. In addition, this plan allows a

The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time maybe used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields

Waste Management, Inc., incorporated in 1968, had become a leader in the industry of waste management services ranging from industrial operations to curbside collection. This company had become synonymous with many different kinds of disposal services that allowed for the company to grow and grow with a solid base over the course of twenty-eight years. Finally in 1996, the company reported total assets of almost $20 billion with net income close to $200 million. However, even with this growth and solid base, the company was feeling competitive pressures and net income was on the decline.