Question #303233

The production cost, represented by y, of smart phone devices are equal to the product of computing components a and the square of the number of devices x, added to the product pf labour b and number of devices x; after which savings on reusable material c are subtracted.

2.1. Suppose the production cost is R 239250, computing components cost is R1035, labour cost is R4140 and the savings on reusable materials is R1725, determine the number of devices produced

2.2. Hence, write down the equation with y as subject (in terms of x) to represent the production cost.( the value of a, b and c must be indicated.




1
Expert's answer
2022-03-01T10:59:45-0500

2.1) 

y=ax2+bxcy=ax^2+bx-c


2.2


y=239250y=239250

a=1035a=1035

b=4140b=4140

c=1725c=1725

1035x2+4140x240975=0,x>01035x^2+4140x-240975=0, x>0



23x2+92x5355=023x^2+92x-5355=0


x=46±462+23(5355)23x=\dfrac{-46\pm\sqrt{46^2+23(5355)}}{23}


Since x>0,x>0, we take


x=46+462+23(5355)23x=\dfrac{-46+\sqrt{46^2+23(5355)}}{23}



x=13x=13

2.2


y=1035x2+4140x1725,x>0y=1035x^2+4140x-1725, x>0



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