solving a word problem using linear programming
a mining company owns two mines. these mines produce an ore that can be graded into two classes: regular grade and low grade. the company must produce at least 410 tons of regular grade and 530 tons of low grade ore per week. the first mine produces 6 tons of regular grade and 16 tons of low grade ore per hour. the second mine produces 20 tons of regular grade and 10 tons of low grade per hour. the operating cost of the first mine is $26,500 per hour, and the operating cost of the second mine is $10,000 per hour. the first mine can be operated no more than 55 hours a week, and the second mine can be operated no more than 29 hours a week. how many hours per week should each mine be operated to minimize the cost?
Homework Answers
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low...
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 150 tons of regular-grade and 140 tons of low-grade ore per week. The first mine produces 3 tons of regular-grade and 7 tons of low-grade ore per hour. The second mine produces 5 tons of regular-grade and 2 tons of low-grade ore per hour. The first mine can be operated no...
Linear programming
A mining company produces 300 tons of red ore and 210 tons of black ore each week. These can be treated in different ways to produce three different alloys, Soft, Hard or Strong. To produce 1 ton of Soft alloy requires 5 tons of red ore and 3 tons of black. For the Hard alloy the requirements are 3 tons of red and 5 tons of black, whilst for the Strong alloy they are 5 tons of red and 5...
Refer to the MOLP example: The following example illustrates the issues involved in an MOLP problem....
Refer to the MOLP example: The following example illustrates the issues involved in an MOLP problem. Although this example involves only three objectives, the concepts and techniques presented apply to problems involving any number of objectives. Lee Blackstone is the owner of the Blackstone Mining Company, which operates two different coal mines in Wythe and Giles counties in southwest Virginia. Due to increased commercial and residential development in the primary areas served by these mines, Lee is anticipating an increase...
Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company...
Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $16,000/day to operate, and it yields 55 or of gold and 3000 ou of silver each of days. The Horseshoe Mine costs $18,000/day to operate, and it yields 75 oz of gold and 1500 of siver each of y days. Company management has set a target of at least...
Imported Section 1 1) Lou and Alex live together and share household chores. They like to...
Imported Section 1 1) Lou and Alex live together and share household chores. They like to cook some meals ahead of time and eat leftovers. The table below shows the number of rooms they can each clean and the number of meals they can each cook in an hour. Rooms Cleaned Per Hour 5 3 Meals Cooked Per Hour 4 3 Lou Alex if Alex and Lou work out an efficient arrangement for these two chores, then under that arrangement:...
Exercise 4. Cobb-Douglas and Increasing Returns to Scale (Mining) Exercise 4. Cobb-Douglas and increasing Returns to...
Exercise 4. Cobb-Douglas and Increasing Returns to Scale (Mining)
Exercise 4. Cobb-Douglas and increasing Returns to Scale (Mining) Consider mining output, y (measured in million tons of ore), as ultimately the function of two essential inputs, extraction, Xı, and exploration, X2. Both inputs are indispensable, as there would be nothing to excavate without a geologic survey to know where to dig, and conversely finding ore without then quarrying it also produces no mining output. Both inputs also present diminishing marginal...
Problem 11-5 Shamrock Mining Company has purchased a tract of mineral land for $1,044,000. It is...
Problem 11-5 Shamrock Mining Company has purchased a tract of mineral land for $1,044,000. It is estimated that this tract will yield 139,200 tons of ore with sufficient mineral content to make mining and processing profitable. It is further estimated that 6,960 tons of ore will be mined the first and last year and 13,920 tons every year in between. (Assume 11 years of mining operations.) The land will have a salvage value of $34,800. The company builds necessary structures...
Tra c es tipes of Regular and was the c a se and related demand is such could use of machine hos produc...
Tra c es tipes of Regular and was the c a se and related demand is such could use of machine hos producing model Them es are through the same production department Potepinis Data Teadlight Product Me Analysis TreadLight Product Mix Analysis Deluxe Regular Contribution margin for equivalent number of direct labor hours Contribution margin for equivalent number of machine hours Contribution margin per unit Fixed costs per unit Sale price per unit Units produced with equivalent number of direct...
can someone help me understand these problem please? Month Labor Cost($) Employee Hours January 9,590 530...
can someone help me understand these problem
please?
Month Labor Cost($) Employee Hours January 9,590 530 February 7,100 620 March 7,631 660 April 8,240 490 May 9,887 570 June 8,590 450 July 12,682 740 August 7,600 410 Pizza Vesuvio's controller wants to calculate the fixed and variable costs associated with labor used in the restaurant. In your calculations, round the variable rate per employee hour to the nearest cent. If required, round your final answers to the nearest cent. Required:...
Product Pricing and Profit Analysis with Bottleneck Operations Hercules Steel Company produces three grades of steel:...
Product Pricing and Profit Analysis with Bottleneck Operations Hercules Steel Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Hercules is able to sell as much as it can produce of all three. The furnace operation is a bottleneck in the process and is running at 100% of capacity. Hercules wants to improve steel operation profitability. The variable conversion cost is $15 per process hour. The...
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 150 tons of regular-grade and 140 tons of low-grade ore per week. The first mine produces 3 tons of regular-grade and 7 tons of low-grade ore per hour. The second mine produces 5 tons of regular-grade and 2 tons of low-grade ore per hour. The first mine can be operated no...
Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $16,000/day to operate, and it yields 55 or of gold and 3000 ou of silver each of days. The Horseshoe Mine costs $18,000/day to operate, and it yields 75 oz of gold and 1500 of siver each of y days. Company management has set a target of at least...
Imported Section 1 1) Lou and Alex live together and share household chores. They like to cook some meals ahead of time and eat leftovers. The table below shows the number of rooms they can each clean and the number of meals they can each cook in an hour. Rooms Cleaned Per Hour 5 3 Meals Cooked Per Hour 4 3 Lou Alex if Alex and Lou work out an efficient arrangement for these two chores, then under that arrangement:...
Exercise 4. Cobb-Douglas and Increasing Returns to Scale (Mining)
Exercise 4. Cobb-Douglas and increasing Returns to Scale (Mining) Consider mining output, y (measured in million tons of ore), as ultimately the function of two essential inputs, extraction, Xı, and exploration, X2. Both inputs are indispensable, as there would be nothing to excavate without a geologic survey to know where to dig, and conversely finding ore without then quarrying it also produces no mining output. Both inputs also present diminishing marginal...
Problem 11-5 Shamrock Mining Company has purchased a tract of mineral land for $1,044,000. It is estimated that this tract will yield 139,200 tons of ore with sufficient mineral content to make mining and processing profitable. It is further estimated that 6,960 tons of ore will be mined the first and last year and 13,920 tons every year in between. (Assume 11 years of mining operations.) The land will have a salvage value of $34,800. The company builds necessary structures...
Tra c es tipes of Regular and was the c a se and related demand is such could use of machine hos producing model Them es are through the same production department Potepinis Data Teadlight Product Me Analysis TreadLight Product Mix Analysis Deluxe Regular Contribution margin for equivalent number of direct labor hours Contribution margin for equivalent number of machine hours Contribution margin per unit Fixed costs per unit Sale price per unit Units produced with equivalent number of direct...
can someone help me understand these problem
please?
Month Labor Cost($) Employee Hours January 9,590 530 February 7,100 620 March 7,631 660 April 8,240 490 May 9,887 570 June 8,590 450 July 12,682 740 August 7,600 410 Pizza Vesuvio's controller wants to calculate the fixed and variable costs associated with labor used in the restaurant. In your calculations, round the variable rate per employee hour to the nearest cent. If required, round your final answers to the nearest cent. Required:...
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