Concept explainers
Average cost If the weekly total cost of producing
Toshiba television sets is given by
What is the average cost per set if 3000 sets are sold?
Graph this function.
Does the average cost per set continue to fall as the number of sets produced increase?
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Chapter 2 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?arrow_forwardIn these problems you are asked to find a function that models a real-life situation. Use the principals of modeling described in this Focus to help you. Distance They ships leave port at the same time. One sails south at 15 mi/h, and the other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure.arrow_forwardChanging Water Levels The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between x=100 and x=200?arrow_forward
- Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg, find a function that models the mass that remains after tyears. (b)Find the mass that will remain after 1000 years. (c)After how many years will only 50 mg remain?arrow_forwardHow can you determine whether a function is odd or even from the formula of the function?arrow_forward
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