1.A farmer has 4000 metres of fencing, he wants to enclose a rectangular field that borders on a river. If the farmer doesn't fence the side along the
river, what is the largest area he can inclose? The area of the garden is give by:
A(x)=4000x-2x^2 (^2=squared)
2. A texas based company called hamilton's wares sells baseball bats at a fixed price, c. A field researcher has calculated that the profit the company makes selling the bats a price c can be represented by the following equation:
p(c)=1/5c^3-51/2c^2+110c
What price should they sell their bats at to make the most money.
Please show full working out for both questions, ^3 means to the power of 3.
