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) A company has fixed monthly costs of $120,000 and production costs on its product of $25 per unit. The company sells its product for $56 per unit.
1.) A company has fixed monthly costs of $120,000 and production costs on its product of $25 per unit. The company sells its product for $56 per unit. The cost function, revenue function and profit function for this situation are
2.) A company produces two types of nutritional supplements; Energize and Excel. Energize contains 24 mg of vitamin A, 76 mg of vitamin C and 21 mg of an herbal supplement. Excel contains 65 mg of vitamin A, 59 mg of vitamin C and 9 mg of the herbal supplement. An athlete is told that he needs at least 471 mg of vitamin A, 1115 mg of vitamin C and 429 mg of the herbal supplement for optimal athletic performance. The athlete wants to take the supplements, but at the lowest possible cost. Energize pills cost 40 cents each, while Excel pills cost 120 cents each. Let x = the number of Energize pills to take, and let y = the number of Excel pills to take. Which of the following is the objective function for this situation?
3.) A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 2 hours of mechanical tuning to produce a mountain bike. It takes 8 hours of assembly time and 3 hours of mechanical tuning to produce a racing bike. The company has at most 24 hours of mechanical tuning labor per week and at most 171 hours of assembly labor per week. The company's profit is $120 for each mountain bike produced and $100 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
