**Linear Programming Model**Hello, I could use some help. I have been unsuccessful twice, and I am on my last attempt. Can someone please fact-check ALL of the answers I have entered for accuracy and provide the correct answers if they are wrong? I really appreciate any help you can provide. Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, andautomobile loans. The annual rates of return for the three types of loans are 5% for home loans, 14% for personal loans,and 9% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must beallocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loanscannot exceed 60% of the amount allocated to automobile loans.(a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to eachtype of loan to maximize the total annual return for the new funds. If the constant is "1", it must be entered in the box.If your answer is zero, enter "0".Let H= amount allocated to home loansP = amount allocated to personal loansA = amount allocated to automobile loansMaxs.t.40000C(b) How much should be allocated to each type of loan?What is the total annual return?If required, round your answer to nearest whole dollar amount.$ 85,250What is the annual percentage return?If required, round your answer to two decimal places.%(c) If the interest rate on home loans increases to 9%, would the amount allocated to each type of loan change?Explain.An increase to 9%within the allowable range, so the amount allocated to each type ofIoanchange.(d) Suppose the total amount of new funds available is increased by $10,000. What effect would this have on the totalannual return? Explain.If required, round your answer to nearest whole dollar amount.An increase of $10,000 to the total amount of funds available would increase the total annual return by $(e) Assume that ASB has the original $1 million in new funds available and that the planning committee has agreed torelax the requirement that at least 40% of the new funds must be allocated to home loans by 1%. How much wouldthe annual return change?If required, round your answer to nearest whole dollar amount.$How much would the annual percentage return change?If required, round your answer to two decimal places.