Question

A farm has to transport at least 1200 packages daily using large vans which carries 200 packages each and small vans which carries 80 packages then the cost of packaging each each large van is rupees 400 and each small when is rupees 200 not more than rupees 3000

Answer 1

here is your answer OK dude


Dear Student,
Please find below the solution to the asked query:

Let us first summarized the given data:For the large van:Packages=200 Cost=₹ 400For the small vanPackages=80Cost=₹200For the minimum requirementPackages=1200Cost=₹3000Let x be no of large vans and y be the number of small vans,used for carrying the packages.The objective is to minimize the cost. The mathematic formulation of the above problem is as follows:200x+80y≥1200 Minimum PackagesDivide each term by 40⇒5x+2y≥30400x+200y≤3000 Maximum budget is 3000Divide each term by 200⇒2x+y≥15Number of large vans cannot exceed the number of small vans:⇒x≤yx≥0 and y≥0 Non-negativity constraint :
​

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards