Issue with Solver Binary Constraints

Hello!

I have a portion of a homework problem I don't know how to resolve. In the problem, I have a set of five parts to be produced where A+B+C add up to one product with a demand of 7000, and A+D+E add up to another with a demand of 5000. They can be produced in my home factory at a lower cost per item but with a one-time set-up fee per type of item produced, or outsourced for a higher per item cost but with no set-up fee. The lesson demands that this be done with a linear programming model.

Setting up everything but the one-time fee is no problem and Simplex LP will solve it with no issues. Once I try to factor in the one time fee, however, nothing works - I've tried setting up if/then statements reliant on >0 production in a particular item category, and I've set up binary constraints to do the same thing. As soon as that conditional "will I use the factory for that item and incur the fee or not" element is put into the spreadsheet in any way I know, Simplex LP won't play ball anymore.

Parts A,B,C combine into a product, which I need 7000 of. Parts A,D,E also combine into a product I need 5000 of, so I need exactly 12000 of part A, 7000 of B and C, and 5000 of D and E. The 30000 is a time constraint in the same units(minutes) as the time-per-part is expressed in; this is the most time my home factory has to spare. The overall objective is to determine what amount of which parts should be made in the home factory or outsourced, minimizing the cost.

I'm pretty sure I just don't understand the material very well, or I'm missing an entire concept somewhere. I've attached a screenshot of the spreadsheet as it's set up currently below. I definitely don't need anybody to do my homework for me or anything like that, but a nudge in the right direction would be amazing.

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