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 50 oz of gold and 3000 oz of silver each of x day. TheHorseshoe Mine costs $16,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver.(a) How many days should each mine be operated so that the target can be met at a minimum cost?The minimum is C =]at (x, y) = ((b) Suppose C = cx + 16,000y. Find the range of values that the Saddle Mine's daily operating cost, the coefficient c of x, can assume without changing the optimal solution.scsl(c) Find the range of values that the requirement for gold can assume.s (requirement for gold) s

Given: The Saddle Mine costs $16,000/day to operate. The Horseshoe Mine costs $16,000/day to…

Answered: Perth Mining Company operates two mines…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
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Flint lab produces 4 high tech product types. Each of the products must be wired, drilled, assembled and checked for quality standard before being delivered to consumers. The time requirement and profit for each product are as follows. Product A: 0.5 hr for wiring, 3 hrs for drilling, 1 hr for assembling, and 0.5 hr for inspection. One product A can be sold for $10 per unit. Product B: 1.5 hr for wiring, 1 hrs for drilling, 3 hrs for assembling, and 1 hr for inspection. One product B can be sold for $13 per unit. Product C: 1.5 hr for wiring, 2 hrs for drilling, 3 hrs for assembling, and 0.5 hr for inspection. One product C can be sold for $16 per unit. Product D: 1 hr for wiring, 3 hrs for drilling, 2 hrs for assembling, and 0.5 hr for inspection. One product D can be sold for $12 per unit. The maximum capacity for wiring, drilling, assembly, and inspection are 1500 hrs; 2350 hrs; 2600 hrs; and 1200 hrs respectively. Flint lab requires that there will be at least 150 units of A, 100…
erth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $15,000/day to operate, and it yields 65 oz of gold and 2900 oz of silver each day. The Horseshoe Mine costs $15,500/day to operate, and it yields 70 oz of gold and 1300 oz of silver each day. Company management has set a target of at least 540 oz of gold and 16,800 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? Saddle- Days Horseshoe- Days Minimum Cost-
A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 4800 minutes of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.
A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 80 hrs of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.
A multimedia company anticipates that there will be a demand for 20,000 copiesof a certain DVD during the next year. It costs the company $0.40 to store a DVD for one year. Each time it must make additional DVDs, it costs $250 to set up the equipment. How many DVDs should the company make during each production run to minimize its total storage and setup costs?
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Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $15,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day The Horseshoe Mine costs $16,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? (х, у) %D What is the minimum cost? $
Ocean water contains 0.9 ounces of gold per ton. Method A costs $550 per ton of waterprocessed and will recover 90% of the metal. Method B costs $400 per ton of waterprocessed and will recover 60% of the metal. The two methods require the same capitalinvestment and are capable of producing the same amount of gold each day. If the extractedgold can be sold for $1,750 per ounce, which method should be recommended? The supplyof ocean water is essentially unlimited.

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