??????Hewlitt Corporation established an early retirementprogram as part of its corporate restructuring. At the close of thevoluntary sign-up period, 68 employees had elected earlyretirement. As a result of these early retirements, the companyincurs the following obligations over the next eight years:

Year	1	2	3	4	5	6	7	8
Cash Required	430	210	222	231	240	195	225	255

The cash requirements (in thousands of dollars) are due at thebeginning of each year.

The corporate treasurer must determine how much money must beset aside today to meet the eight yearly financial obligations asthey come due. The financing plan for the retirement programincludes investments in government bonds as well as savings. Theinvestments in government bonds are limited to three choices:

Bond	Price	Rate (%)	Years to Maturity
1	$1150	8.815	5
2	1000	5.500	6
3	1350	11.750	7

The government bonds have a par value of $1000, which means thateven with different prices each bond pays $1000 at maturity. Therates shown are based on the par value. For purposes of planning,the treasurer assumed that any funds not invested in bonds will beplaced in savings and earn interest at an annual rate of 4%.

a. write an LP to minimize the funds that Hewlitt must investtoday in order that they can meet their yearly obligations.

b. what is the minimum amount of funds needed, and how much isinvested in bond 1, bond 2, bond 3, and how much is put in savingseach year.