The answer is 40 the answer is 40
Yes they can all have the same
Answer:
a)
b) P(2) = 14 units
c) from hour 4 to hour 5, an average worker can complete about 0.1 of a unit.
Step-by-step explanation:
Notice that the problem gives the derivative of the production function, and also an extra piece of information (P(2) = 14) - also called initial condition - that allows us to find the actual production with any additional constant.
Let's work on the "antiderivative" of the function:
Using the change of variables , becomes
Then, the family of antiderivatives becomes:
We should be able to determine the constant C using the initial condition for the problem:
Then we evaluate:
Then the function requested in point a) is:
Point b) "Find the number of units an average worker can complete 2 hours after beginning work" was already given as the initial condition, so P(2) = 14 units.
Point c) asks for the number of units an average worker can complete from hour 4 to hour 5, so we calculate the difference:
So the average worker can complete one tenths of a unit between hour 4 and hour 5.
1/2 (12)(5a+7b)
6(5a+7b)
30a + 42b -- I hope this helped