The point at which a company’s profits equal zero is called thecompany’s break-even point. For Problems 43 and 44, let R representa company’s revenue, let C represent the company’s costs, and let xrepresent the number of units produced and sold each day.(a) Find the firm’s break-even point; that is, find x so that R = C.(b) Find the values of x such that R(x) > C(x). This representsthe number of units that the company must sell to earn a profit.43. R(x) = 8xC(x) = 4.5x + 17,50044. R(x0 = 12xC(x) = 10x + 15,000
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.
The point at which a company’s profits equal zero is called the
company’s break-even point. For Problems 43 and 44, let R represent
a company’s revenue, let C represent the company’s costs, and let x
represent the number of units produced and sold each day.
(a) Find the firm’s break-even point; that is, find x so that R = C.
(b) Find the values of x such that R(x) > C(x). This represents
the number of units that the company must sell to earn a profit.
43. R(x) = 8x
C(x) = 4.5x + 17,500
44. R(x0 = 12x
C(x) = 10x + 15,000
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