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The total cost of production consists of fixed costs (such as overhead) plus variable costs (such as supplies). Revenue is the amount of money that is received due to sales. Suppose that the manager of a small company that produces roof tile has determined that the overhead is $1000 and the variable cost for each unit of tile produced is $200. Each unit of tile sells for $240. Find the total cost in dollars, C(x), of producing x units of tile and the revenue in dollars, R(x), from the sale of x units of tile. The company will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) = R(x) is called the break-even point.
Find the break-even point and the cost and revenue at the break-even point. Suppose the variable cost is actually $220 per unit, instead of $200.
How does this affect the break-even point? Is the manager better off in this case or not? Explain. Discuss with your classmates.
The book is just on the point of moving down the plane. Calculate the value of the coefficient of friction,correct to one decimal place.
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INVENTORY CONTROL AND PLANNING The demand for motorcycle tires imported by Dixie Import-Export is 40,000/year and may be assumed to be uniform.
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a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
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Use rules of differentiation.
When mineral deposits form a uniform coating 1 mm thick on the inside of a pipe of radius r (in mm), the cross-sectional area A through which water can flow.
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