Question

A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales...

A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales are increasing at the rate of 50 units per day, how rapidly is revenue increasing (in dollars per day) when 360 units have been sold?

? dollars per day

The cost of producing x units of stuffed alligator toys is C(x)=0.002x^2+7x+5000. Find the marginal cost at the production level of 1000 units.

? dollars/unit

Suppose a product's revenue function is given by R(q)=−7q^2+600q , where R(q) is in dollars and q is units sold. Find the rate that revenue changes when 66 units are sold.

Which best interprets your previous answer? (Choose one)

  • revenue increases by 324 dollars per unit when 66 units are sold
  • when 66 units are sold revenue decreases by $324
  • 324 dollars are lost for each unit sold after 66 units
  • revenue decreases by 324 units per dollar when cost is $66
  • revenue is decreasing by 324 dollars per unit when 66 units are sold

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