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A Vehicle Factory Manufactures Cars

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A vehicle factory manufactures cars. The unit of measurement price C (the toll in dollars to make each car) depends on the number of cars made.
If ten cars are made, then the unit cost is given past the office
c(ten) = 1.2x^two - 384x + 38,667
What is the minimum unit cost?
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If you are given a quadratic function       y = ax^2 + bx + 10      (1)  (with the positive coefficient "a", as it is in your case), then it achieves the minimum at       x =              -b%2F2a.             (2)   In your case this value of x is x =              -%28-384%29%2F%282%2A1.2%29              = 160.   Now to find the minimal value of the quadratic role (i), you simply need to substitute the value (2) into the function.  In your case, you demand to substitute the value 10 = 160 to go the minimum unit cost              C%5Bmin%5D              = ane.ii*160^2 - 384*160 + 38,667.   Delight brand this calculation on your own.            

There is a agglomeration of lessons in this site on finding the maximum/minimum of a quadratic role
- HOW TO complete the square to find the minimum/maximum of a quadratic function
- Briefly on finding the minimum/maximum of a quadratic function
- HOW TO complete the foursquare to find the vertex of a parabola
- Briefly on finding the vertex of a parabola
- A rectangle with a given perimeter which has the maximal area is a foursquare
- A farmer planning to contend a rectangular garden to enclose the maximal surface area
- A farmer planning to fence a rectangular area forth the river to enclose the maximal expanse
- A rancher planning to debate two adjacent rectangular corrals to enclose the maximal area
- Using quadratic functions to solve problems on maximizing revenue/turn a profit
- OVERVIEW of lessons on finding the maximum/minimum of a quadratic role

Also, you have this complimentary of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the role of this textbook under the topic "

Finding minimum/maximum of quadratic functions".

A Vehicle Factory Manufactures Cars,

Source: https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1062690.html

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