00:02
In this question it is given that the total weekly cost in dollars by lincoln records in pressing x compact is given by cx is equals to 2000 plus 2x minus 0 .001 x square where this number x is given from 0 to 6 ,000.
00:27
Now we need to find out that what will be the actual cost incurred in producing 9 ,000.
00:33
0 first and 2041 first disk so for this 901 first disk so for this 901 first that is 901th disk for this if we go we will just write total what will be the cost for 901 minus total what will be the cost for 900 so that will be equals to 2000 plus 2 times 901 minus 0 .00 times 901 square minus this will be 2000 minus 2 times 900 and minus will become plus 0 .001 times 900 square.
01:25
So this 2000, 2000 will get cancelled out.
01:28
We will be getting 2 plus 0 .001 times 900 square.
01:37
Minus 901 square will be minus 1 times 901 plus 900 will be 1 ,801.
01:45
So if we go for it, then we will be getting 2 minus.
01:49
This will be 0 .1801.
01:54
So finally if we calculate this value, then we'll be getting 1 .819.
01:59
So this much of dollars will be the cost of 90 first disk...