Question

For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is r(x)=-0.5(x-120)^2+7200. The maximum capacity of the company is 170 items.

Answer 1

No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.

We are unable to produce zero items in one day.

Maximum available output = 2300

The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,

What is the maximum capacity of a company?

Generally, The greatest level of production that a firm is able to maintain in order to provide its goods or services is referred to as its capacity. Capacity may refer to a manufacturing process, the distribution of human resources, technological thresholds, or any one of a number of other related ideas, depending on the sort of company being discussed.

In conclusion, No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.

We are unable to produce zero items in one day.

Maximum available output = 2300

The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,

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