Firstly multiply 3x by 6 which gives you 18x
then multiply 6 and -7 which is -42. The final result is 18x-42.
The answer should be 282/77 as a fraction.
The number of machines that must be made to minimize the unit cost will be 230.
<h3>How to calculate the units?</h3>
From the information, the cost function is given as C(x)=0.9x²-414x+52,794. This will be differentiated.
C(x)=0.9x²-414x+52,794
C'(x) = d/dx(0.9x² - 414x + 52,794)
= 1.8x - 414
1.8x - 414 = 0
1.8x = 414
x = 414/1.8
x = 230
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