Correct answer is:- standard price for first 200 boxes is 8$ and the amount spent on the pens offered at discounted rate is 1800$.
<u>Solution:-</u>
We are given that for first 200 pens, there is a standard price. Let the standard price be y.
So if some one purchases pens fewer than 200 then amount to pay =200y.
If number of boxes is more than 200, then each box over 200 is given at a discounted rate. Let the discounted rate be d.
Then price of the x boxes if x>200 is (standard price * 200)+( x-200)*d
= 200y+(x-200)d
Hence price of each box =
If we compare above equation with given equation,
200y=1600 and (x-200)d=6(x-200)
y=8 and d=6.
a)Hence standard price for first 200 boxes=8$
And discounted price per box which is over 200 boxes=6$
b)If the customers order 500 boxes of pens then the amount spent on pens offered at discounted rate = (number of boxes over 200)*(discounted rate)
=(500-200)*6=1800$