Eye-Full Optics assembles astronomical telescopes, premium binoculars and student-grade microscopes from imported parts. Each telescope takes 1 hour to assemble, each pair of binoculars 2 hours, and each microscope 3 hours; the availability of skilled labor limits assembly work to 1000 hours per day. Eye-Full has a contract with FedEx, and must ship no less than 500 items per day. A contract with a major retailer requires them to deliver a minimum of 160 telescopes, 250 binocs, and 50 microscopes per day. But there are supply limitations. The telescopes and binocs are shipped with the same eyepieces; each scope has one, and each pair of binocs has two. The subcontractor who supplies the eyepieces can only furnish 800 per day. Similarly, both the binocs and the microscopes use the same prisms; each pair of binocs needs two, and each microscope needs four. The prism supplier can only ship Eye-Full 1400 per day. If Eye-Full makes a profit on $100 on each scope, $200 on each pair of binocs, and $250 on each microscope, how many of each should the company manufacture each day? What is its optimum daily profit? Solve the problem using an online app. Include either a screen shot of the output (preferred), or type the output. Be sure to include the profit function, the constraints, and the complete solution.