here is my answer to 3a & here is the question to 3A

a. Problem #4 - The mean number of air conditioning units assembled per month by Freeze, Inc. is 750 and the standard deviation is 100 units. If the number of air conditioning units assembled per month follows a normal distribution, calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the monthly break-even point calculated in problem 3-a. An improved assembling process is proposed to Freeze, Inc. to reduce the variable cost from $500 per unit to $400 per unit, increase the mean number of air conditioning units assembled per month from 750 to 850 and reduce the standard deviation to 90 units. As a result of the improvements, monthly fixed costs would go up from $250,000 to $300,000. Once these improvements are implemented, calculate the new number of air conditioning units that Freeze Inc. must sell every month to break-even, discuss and justify if you would recommend the process improvement initiative. If the number of air conditioning units assembled per month still follows a normal distribution after the implementation of the improvements described on item (b), calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the new monthly break-even point. Now that you know this probability, would you change your recommendation? Justify Discussion Question #1 - Using your "own words", discuss the differences among decision making under certainty, decision making under risk, and decision making under uncertainty. Provide an example for each one of them. Discussion Question #2 - Using your own words", discuss how the coefficient of determination and the coefficient of correlation are related and how would you use them in regression analysis. Problem #3: A.)/ We know that at break-even, revenue must be equat to cost. Here we have a variable cost of 4500 & a monthly Fixed cost of $350,000 we can represent it as a function (x)-500x+250,000, where x is the number of units sold. We also know they sell each unit at $1000, so revenue furction R(x)=1000x At break even point, total revenue total cost 1000x500x + 250.000 solving we get 500 x = 250,000 X=20,000/500 =500 so freeze inc. must sell 500 units per month to meet break-even conditions. a. Problem #3 - At Freeze Inc. the manufacturing of each air conditioning has a variable cost of $500 per unit and it takes place in a facility that has a monthly fixed cost of $250,000 If Freeze Inc. sells each unit at $1,000, how many units do they need to sell every month to break-even? b. What is the monthly revenue at the break-even point? What is the monthly variable cost at the break-even point? d. What is the total operating cost at the break-even point? If Freeze Inc. sells 600 units at $1,000 each on a given month, calculate the profit. c. e. a. Problem #4 - The mean number of air conditioning units assembled per month by Freeze, Inc. is 750 and the standard deviation is 100 units. If the number of air conditioning units assembled per month follows a normal distribution, calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the monthly break-even point calculated in problem 3-a. An improved assembling process is proposed to Freeze, Inc. to reduce the variable cost from $500 per unit to $400 per unit, increase the mean number of air conditioning units assembled per month from 750 to 850 and reduce the standard deviation to 90 units. As a result of the improvements, monthly fixed costs would go up from $250,000 to $300,000. Once these improvements are implemented, calculate the new number of air conditioning units that Freeze Inc. must sell every month to break-even, discuss and justify if you would recommend the process improvement initiative. If the number of air conditioning units assembled per month still follows a normal distribution after the implementation of the improvements described on item (b), calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the new monthly break-even point. Now that you know this probability, would you change your recommendation? Justify Discussion Question #1 - Using your "own words", discuss the differences among decision making under certainty, decision making under risk, and decision making under uncertainty. Provide an example for each one of them. Discussion Question #2 - Using your own words", discuss how the coefficient of determination and the coefficient of correlation are related and how would you use them in regression analysis. Problem #3: A.)/ We know that at break-even, revenue must be equat to cost. Here we have a variable cost of 4500 & a monthly Fixed cost of $350,000 we can represent it as a function (x)-500x+250,000, where x is the number of units sold. We also know they sell each unit at $1000, so revenue furction R(x)=1000x At break even point, total revenue total cost 1000x500x + 250.000 solving we get 500 x = 250,000 X=20,000/500 =500 so freeze inc. must sell 500 units per month to meet break-even conditions. a. Problem #3 - At Freeze Inc. the manufacturing of each air conditioning has a variable cost of $500 per unit and it takes place in a facility that has a monthly fixed cost of $250,000 If Freeze Inc. sells each unit at $1,000, how many units do they need to sell every month to break-even? b. What is the monthly revenue at the break-even point? What is the monthly variable cost at the break-even point? d. What is the total operating cost at the break-even point? If Freeze Inc. sells 600 units at $1,000 each on a given month, calculate the profit. c. e