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Chapter 5 Solutions
College Algebra
- Demand A company has found that the daily demand x for its boxes of chocolates is inversely proportional to the price p. When the price is $5, the demand is 800 boxes. Approximate the demand when the price is increased to $6.arrow_forwardProfit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price (in dollars) of the microwave oven and x is the number of units sold. The cost equation for the microwave oven is C=80x+150,000, where C is the total cost (in dollars) and x is the number of units produced. The total profit P obtained by producing and selling x units is modeled by P=xpC. (a) Find the profit function P in terms of x. (b) Find the profit when 250,000 units are sold. (c) Find the unit price when 250,000 units are sold. (d) Find (if possible) the unit price that will yield a profit of 10 million dollars. If not possible, explain why.arrow_forwardMaximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model P=230+20x0.5x2. What expenditure for advertising yields a maximum profit?arrow_forward
- Travel Time You are driving on a Canadian freeway to a town that is 500 kilometers from your home. After 30 minutes, you pass a freeway exit that you know is 50 kilometers from your home. Assuming that you continue at the same constant speed, how long does the entire trip take?arrow_forwardMinimum Cost A manufacturer of lighting fixtures has daily production costs of C=80010x+0.25x2, where C is the total cost (in dollars) and x is the number of units produced. What daily production number yields a minimum cost?arrow_forwardOperating Cost A delivery company has a fleet of vans. The annual operating cost C (in dollars) per van is C=0.37m+2600, where m is the number of miles traveled by a van in a year. What number of miles yields an annual operating cost of $10,000?arrow_forward
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