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
Answer:
The last one
Step-by-step explanation:
Answer:
<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>
Step-by-step explanation:
<u>Division As Evenly Distribution</u>
The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.
If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.
But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.
If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder
We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.
Answer. Each classroom received 120 gifts and the hospital received 12 gifts
Answer:
A: the graph will cross the x-axis
Well first divide 12×85=___ ÷340
