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a) If the small test tubes cost 18 cents each and the large ones cost 15 cents each, how many of each size should be ordered to minimize cost?

b) Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.

I understand how to set up the tableau, I just have a hard time forming the minimization problem and the constraints. Here is my attempt so far:

Minimum: w= 18x

_{1}+ 15x

_{2}

Subject to: 2x

_{1}+ x

_{2 is greater than or equal to 900 x greater than or equal to 600 I'm pretty sure that's wrong, but if someone can help me with the equations, I can do the rest. Thanks.}