The fiedler family has up to $130,000 to invest. they decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. how much should they invest in each type of bond to maximize income if the amount in the stable bond should not exceed the amount in the more volatile bond? what is the maximum income?

They should invest $40,000 in stable bonds and $60,000 in volatile bonds. Their maximum income is $129,900

Step-by-step explanation:

Let us assume that, they invested x in stable bonds and y in volatile bonds.

The Fiedler family has up to $130,000 to invest.

They decide that they want to have at least $40,000 invested in stable bonds.

They decide that they want no more than $60,000 should be invested in more volatile bonds.

The amount in the stable bond should not exceed the amount in the more volatile bond, so

As we have to find maximum income from stable bonds yielding 5.5% and volatile bonds yielding 11%, so we have to maximize

Here,

Max

Using LPP, plotting the inequalities on graph, we get the feasible region as shown in the attachment.

The solutions to the system are,

Now putting all the solutions in the objective function to find the maximize the function.

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step-by-step explanation:

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step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights