Suppose a company has fixed costs of $2700 and variable costs per unit of 15/16x + 1480 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600 − 1/16x dollars per unit. a. Form the profit function P(x) from the cost and revenue functions. b. Find the maximum profit. c. What price will maximize the profit? (Round your answer to the nearest cent.)
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.
Suppose a company has fixed costs of $2700 and variable costs per unit of 15/16x + 1480 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600 − 1/16x dollars per unit.
a. Form the profit function P(x) from the cost and revenue functions.
b. Find the maximum profit.
c. What price will maximize the profit? (Round your answer to the nearest cent.)
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