Adrone company has two factories that each produce 3 models: a light-weight toy, a mid-weight model with a camera mount, and a heavy-duty model for professional applications. each day (with 12 hours of production), factory a produces 30 light-weight, 40 mid-size, and 20 heavy-duty drones each month, while factory b produces 60 light-weight, 20 mid-size and 20 heavy-duty drones. (a) if the company has a monthly demand for 1500 light-weight toys, 1000 mid-weight models, and 1000 heavy-duty models, how many days must each factory be oper- ational to best satisfy the demand. use the least-squares sense of "best", and use matlab to evaluate the relevant matrix expressions. (b) what is the actual demand that can be satisfied with this production schedule? (c) if there are resources available to modify the production schedule of one factory, propose a change that might better satisfy the demand; the total number of units produced by each factory in a day must remain constant. (d) test your proposal in (c), again using matlab.