Reddy produces two types of cups (Type 1 and Type 2). A Type 1 cup needs twice as much labour time as a Type 2 cup. If all the available labour time is dedicated to Type 2 cup alone, the company can make a total of 440 Type 2 cups a day. The respective market limits for the two types are 150 and 200 cups per day. The revenue is $3 per Type 1 cup and $2 per Type 2 cup. Let x, y be the number of Type 1 cups and Type 2 cups made per day, respectively. The company plans to maximise its revenue. What is the optimal value of x (the number of Type 1 cups)? What is the optimal value of y (the number of Type 2 cups)? What is the optimal value of revenue? If the daily demand limit on the Type 1 cup is decreased to 120, does the optimal solution change? Please type "Yes" or "No". How much can the market limit increase for Type 2 cup when the optimal solution remains