A company is producing a product which requires, at the final assembly stage, three parts. These three parts can be produced by two different departments as detailed below. Department 1 Department 2 Production rate (units/hr) Part 1 Part 2 Part 3 Cost (/hr) 7 6 9 25.0 6 5 12.5 11 One week, 1050 finished (assembled) products are needed but up to 1200 can be produced if necessary. If department 1 has 100 working hours available, but department 2 has 110 working hours available, formulate the problem of minimising the cost of producing the finished (assembled) products needed this week as an LP, subject to the constraint that limited storage space means that a total of only 200 unassembled parts of all types) can be stored at the end of the week. Note: because of the way production is organised in the two departments it is not possible to produce, for example, only one or two parts in each department, e.g. one hour of working in department 1 produces 7 part 1 units, 6 part 2 units and 9 part 3 units and this cannot be altered. A company is producing a product which requires, at the final assembly stage, three parts. These three parts can be produced by two different departments as detailed below. Department 1 Department 2 Production rate (units/hr) Part 1 Part 2 Part 3 Cost (/hr) 7 6 9 25.0 6 5 12.5 11 One week, 1050 finished (assembled) products are needed but up to 1200 can be produced if necessary. If department 1 has 100 working hours available, but department 2 has 110 working hours available, formulate the problem of minimising the cost of producing the finished (assembled) products needed this week as an LP, subject to the constraint that limited storage space means that a total of only 200 unassembled parts of all types) can be stored at the end of the week. Note: because of the way production is organised in the two departments it is not possible to produce, for example, only one or two parts in each department, e.g. one hour of working in department 1 produces 7 part 1 units, 6 part 2 units and 9 part 3 units and this cannot be altered