Lily makes a net annual income of $52,500 and has saved enough
money for a 20% down payment on
a $230,000 house. She estimates her
mortgage will be $1,200 per month.
Can she afford this mortgage?

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.,(7,(4,(7,(6,(2,( 2,) for the location of the proposed new central hub, the coordinates should be near: x==) if the shipments from city a double, for the location of the proposed new central hub, the coordinates should be near: x==.926.865.017.21