It costs a company $100 in variable costs to produce an air conditioner, plus a fixed cost  of $5,000 if any air conditioners are produced. If the company spends x dollars on  advertising, then it can sell x1/2 air conditioners at $300 each. How can the company  maximize its profit? If the fixed cost of producing any air conditioners were $20,000,  what should the company do

Q: The Acme Widget Company has found that if widgets are priced at $245, then 4800 will be sold each…

A:

Q: A company produces bags, each of which could be sold for $150. It has a fixed monthly cost of…

A:

Q: A radio manufacturer charges $90 per unit for units that cost $60 to produce. To encourage large…

A: The price per unit can be obtained by subtracting the product of 0.01 and the number of units from…

Q: A farmer has 100 pigs each weighing 300 pounds. It costs $.50 a day to keep one pig. The pigs gain…

A: Let 'x' be the number of days that the farmer has to wait to sell his pigs. The expense done by him…

Q: The Metropolitan Company sells its latest product at a unit price of $8. Variable costs are…

A: Selling price of the latest product is $8 Fixed cost = $7800 per month Let the number of units sold…

Q: The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each…

A: It is given that Acme Widget Company has found that if widgets are priced at $125, then 2700 will be…

Q: A recipe for a berry smoothie, which sell for $3 each, uses 6 oz of berries and 2 oz of bananas. A…

A: We need to maximize revenue.

Q: How many DVDs need to be sold for the company to make a profit if the fixed cost is $ 48,000, the…

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Q: A book publisher has fixed costs of $360,000 and variable costs per book of $9.00. The book sells…

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Q: A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot.…

A: The solution of the problem is given in the next step.

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.