The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and so
1 answer:
If the current value of the baseball car is 50 times its original value, its original value will be its current value divided by 50.
Let
represent the current value of the baseball card. We know form our problem that $62 is 50 times the original value, , of the baseball card, so translating this statement to an equation we get:
We can conclude that the original value of the baseball card was $1.24.
Let
We can conclude that the original value of the baseball card was $1.24.
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Answer:
a)
b)
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and