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A particular seafood and grill resto found out to be famous because it satisfactorily served its customers. Its average monthly profit, (P), in pesos, can be modelled by the function P(x)=0.00019x3-2.6x + 1800 where x represents the number of served costumers. If the owner targets a profit of Php 40 000 for the month of April, how many customers he should serve?

The number of citizen (N) of barangay Badiang in t years is

predicted to increase and can be modelled by the function N(t)

= 7t4-4t3+150t+17000. After 5 years, how many citizens now

will be residing in barangay Badiang?
​

Sagot :

Raphealnwobiidn

594 customers need to be served so as to earn a profit of Php 40000

Profit is the difference between revenue and cost. It is given by:

Profit = Revenue - Cost

Given the profit function:

P(x) = 0.00019x³ - 2.6x + 1800

Where x is the number of customers.

For a profit of 40000:

40000 = 0.00019x³ - 2.6x + 1800

0.00019x³ - 2.6x - 38200 = 0

x = 593.6; x ≅ 594

594 customers need to be served so as to earn a profit of Php 40000

Given that:

N(t)  = 7t⁴ - 4t³ + 150t + 17000

After 4 years, t = 4:

N(4)  = 7(4)⁴ - 4(4)³ + 150(4) + 17000 = 19136

After 4 years the amount of citizens would be 19136.

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