Question

- The number of roses sold since Monday at a flower store can be modeled by the function N(d) = 60 + 25 and the price 6d per rose can be modeled by.P(d) = 0.02d2 – 0.04d + 0.49 where d is the number of days since Monday. According to this model, what is the total amount of revenue generated by the store's rose sales on Sunday? Round your answer to the nearest cent.​

Answer 1

The revenue function is the sum of the cost and profit functions

The total amount of revenue on Sunday is $59.17

How to determine the amount of revenue

The function for the number of roses is given as:

$N(d) = 6d + 25$

The price per rose is given as:

$P(d) = 0.02d^2 - 0.04d + 0.49$

On Sunday, the value of d is 6.

So, we start by calculating N(6) and P(6)

$N(d) = 6d + 25$

$N(6)= 6 * 6 + 25$

$N(6)= 61$

$P(d) = 0.02d^2 - 0.04d + 0.49$

$P(6) = 0.02 * 6^2 - 0.04 * 6 + 0.49$

$P(6) = 0.97$

The total amount of revenue is then calculated as:

$R(d) = N(d) * P(d)$

Substitute 6 for d

$R(6) = N(6) * P(6)$

So, we have:

$R(6) = 61 * 0.97$

$R(6) = 59.17$

Hence, the total amount of revenue is $59.17

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