00:01
Hello students, today we will discuss about this question.
00:03
In this question we are given that company produces and sells 5 ,000 boxes of playing cards each year and each production run has a fixed cost $1 ,200 and an additional cost $1 .2 per box of playing cards.
00:36
To store a box for a full year, to store a box for a full year, that is equal to that cost dollar to.
00:48
We need to find what is the optimal number of box.
00:53
So here we need to find the number of box of playing cards the company should make during each production run.
01:03
So here, first of all, let us say the number of box that is equals to x.
01:13
So here we need to find x is equal to equation 1.
01:16
Now, we will assume the optimal number of boxes are x.
01:20
So here, the yearly storing cost, that is equals to yearly storage cost per box multiplied by, average number of boxes carried so that is equals to dollar two multiplied by x divided by two so that is equals to dollar x now a yearly reordering cost that is equal to cost during each order multiplied with a number of ordered orders placed per year.
02:24
So that is equal to, we can write, that is equals to 200 plus 2x multiplied by 5 ,000 divided by x...