1. A publishing company plans to replace its four proofreaders who look for errors in manuscripts with a new scanning machine and one proofreader in case the machine breaks down. Currently the proofreaders check 15 manuscripts every week between them. Each is paid $80,000 per year. Hiring the new scanning machine will cost $5,000 each calendar month. How will this new system affect the proofreading department's productivity? (50 points) 2. Bongo's Pizzas has a service guarantee that promises you will not pay for your pizza if it is delivered more than 30 minutes from the order being placed. An investigation shows that 10 per cent of all pizzas are delivered between 15 and 20 minutes from order, 40 per cent between 20 and 25 minutes from order, 40 per cent between 25 and 30 minutes from order, 5 per cent between 30 and 35 minutes from order, 3 per cent between 35 and 40 minutes from order, and 2 per cent over 40 minutes from order. If the average profit on each pizza delivered on time is $1 and the average cost of each pizza delivered is $5, is the fact that Bongo's does not charge for 10 per cent of its pizzas a significant problem for the business? How much extra profit per pizza would be made if 5 minutes was cut from all deliveries? (50 points)