Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 4.25x2 + 1500x – 5000 - gives the profit when they build and sell x cabinet units. Find a) the profit when 65 units are sold dollars b) the average profit per unit as a function of x dollars per unit c) the rate that profit is changing when exactly 65 units are sold dollars per unit d) the number of units that must be sold in order to maximize profit. Round to the nearest whole number if necessary: units e) the maximum profit possible (using your whole number answer from part d) units
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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