Hello. I need help with these questions related to linear programming. Any help will be appreciated

4. 4 marks The company "Le chocolat delicieux" has you solve an LP problem, the ob- jective being measured in dollars of profit. You solve the LP problem, arriving at a final and optimal dictionary that is non-degenerate. Currently they are getting 5000 kilos of cocoa ingredients from the contractor "Cocoa-good" at the price $6 per kilo. The company wants to increase their production, but, the contractor "Cocoa-good" cannot provide additional amount. Then, another supplier "Cocoa-better" offers to provide a tiny bit of cocoa ingredients at the price $10 per kilo. Everything else in the LP problem will remain the same. How do you determine whether the company should buy a tiny bit of such ingredients to make more production? In other words, using what criteria would you advise the company buy or not a tiny bit of such ingredient? Explain your answer clearly using relevant theorems