Answer to Question #144624 in Algebra for Saaketh

Question

Q1)MR. ANG INVESTED $865 IN A BUSINESS MAKING GIFT BASKETS. HE MAKES $13.28 FOR EACH GIFT BASKET THAT HE SELLS. WRITE A FUNCTION THAT REPRESENTS THE SITUATION. HOW MANY GIFT BASKETS MUST MR. ANG SELL UNTIL HE MAKES A PROFIT?'
Q2) The number of bacteria cells in a culture can be modelled by the function B(t)= -0.03(t-4)^2+12

Answer 1

$Q1) P(x)=R(x)-C(x)$ Given $C(x)=\$865, R(x)=\$13.28\cdot x$

Then

$$P(x)=13.28x-865$$

If $P(x)\geq0$

$$13.28x-865\geq0$$

$$x\geq\dfrac{865}{13.28}$$

$$x\geq66$$

$66^{th}$ basket will give a profit.

Q2) The question was not described.