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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made of

x machines are made, then the unit cost is given by the function C(x)=1.23-744x + 134,191. What is the minimum unit cost?

User Gerhardh
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1 Answer

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Final answer:

The problem provided aims to find the minimum unit cost for a copy machine using a given cost function, but there is a likely typo in the function. The methodology would involve finding the vertex of a quadratic function, but the given function is not quadratic as written, indicating that the correct function is required to proceed.

Step-by-step explanation:

The question deals with finding the minimum unit cost for a copy machine given the cost function C(x) = 1.23 - 744x + 134,191. However, it seems that there might be a typing error in the cost function, but taking the information as is, this type of problem typically requires finding the vertex of the parabola represented by the cost function. When the equation is in the form of C(x) = ax^2 + bx + c, the x-coordinate of the vertex (which gives the number of machines for minimum cost) can be found using the formula -b/(2a).

However, the formula provided does not appear to be quadratic, and thus, it may not have a minimum value unless the correct function should be quadratic. We need the correct quadratic cost function to find the minimum unit cost. It's also important to note that the subject is mathematics, specifically dealing with functions and their minima.

User Brennan Hoeting
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