Question 1210545
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Gorimapa Nigeria plc has just received an order for it's bathroom cabinet which is made up of two kinds 
that is standard and deluxe. The order is for at least 200 bathroom cabinets of either varieties and including 
at least 60 of the deluxe kind. 
The standard model takes 4 hours of the assembling time and has a valuable cost of #4000 whereas 
the deluxe model takes 5 hours of assembling time and has a valuable cost of #6000 . 
There are 400 hours available for assembling time. The equipment can be used to assemble either kind 
of cabinet in any combination. The company's manager engages you as an expert and wishes to minimize 
the company's cost of this special order. You are required as an expert to formulate this problem 
in a linear programming form and using the graphical method advise the manager on the best product 
that will enable his firm to minimize it's cost
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This problem, as it is presented in the post, has no solution, at all.


Indeed, to make 200 cabinets, it requires at least 4*200 = 800 hours of work, 
counting the minimum required time of 4 hours for a standard cabinet.


It is just more than 400 hours available, so the problem does not have a solution.



You do not need to deploy the heavy artillery of the Linear Programming to get this conclusion.