You are starting a small business to sell toys. The demand for toys are unlimit and far exceeds your production capacity. The selling price for one toy is $10 and you are price takers in the toy market (i.e. your production will not affect the market price). The annual production depends solely on labor working hours: = 6 Where N denotes the annual labor working hours. Moreover, in the labor market, the labor's working hours depend directly on hourly wage you pay: = 2500 + 1000 Where w denotes the hourly wage. In the first year of your business, you have a budget of $25000 as labor cost. Your goal is to maximize your annual profit = revenue - labor cost. a. (6 points)How do you formulate the annual revenue function from selling toys in terms of hourly wage w ? b. (6 points)How do you formulate the total labor cost function in terms of w? c. (8 points)Write down a non-linear program for this optimization