A medicine manufacturer produces two medicines (ACE inhibitors and ARBs) for controlling blood pressure. The manufacturer has two production lines, 1 and 2, with the following production hours for the second quarter of 2020:

Lines 1 and 2 have costs of $2000 per lot and $1600 per lot, respectively, for either product. The holding cost of carrying a lot in inventory for 1 month is $20/lot for both products. Currently, there are 700 lots of ACE Inhibitors and 1200 lots of ARBs in inventory. Furthermore, management would like to have 1000 lots of each product in stock at the end of June. Formulate an LP to minimize the total cost of meeting demands on time.

The manufacturer must satisfy the following forecasted demand for the number of lots on each produc The production rates for each line and product, in terms of hours per lot, are as follows