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If unit of a certain commodity are produced, then the marginal cot i dc/da = 9x^24x15x ^1/4 10. Suppoe the total cot of producing the 1t unit i 100. Calculate the total cot of producing the firt 16 unit. (calculu 1)

Sagot :

Therefore, the total cost of producing the first 16 units of a certain commodity is 28940.

What are linear equations?

The mathematical formula for a straight line on a graph is called a linear equation. Y = mx + b, where m is the line's slope  b seems to be the y-intercept, or the place where the line crosses the y-axis, is how it is expressed. Because they simply have one variable and no exponents, linear equations are comparatively easy to solve. They may be used to simulate a variety of real-world events, including population increase and the supply-demand connection in the economy. Generally speaking, linear equations are a fundamental algebraic tool produced and are used to represent and analyse a wide variety of data types.

How to solve?

dc/da = [tex]9x^{2} + 4x + 15x^(1/4) +10[/tex]

Differentiate with respect to x

dc/da = [tex]18x + 4 + 15/4 x^(-3/4)[/tex]

input the value 100 for the value of x,

dc/da = 1800 + 4.75

dc/da = 1808.75

To produce the first 16 units,

1808.75 × 16 = 28940

The cost of producing the first 16 units is 28940

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