Question: Hello im having trouble figuring these out. Please help. 1: The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling

Hello im having trouble figuring these out. Please help.

1:

The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, wherexdenotes the number of finished units andydenotes the number of unfinished units manufactured and sold each week.

R(x,y) =-0.25x2-0.2y2-0.2xy+200x+150y

The total weekly cost attributable to the manufacture of these desks is given by the following equation, whereC(x,y)is in dollars.

C(x,y) =90x+50y+4800

Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.

2:

Suppose the following table gives the projected global defense spending (in trillions of dollars) from the beginning of 2008(t= 0)

through 2015(t= 7).

Year,x01234567Sales,y1.291.331.511.581.641.711.891.91

(a) Find an equation of the least-squares lineyfor these data. (Round numerical values to three decimal places.)

y=

(b) Use the result of part (a) to estimate the rate of change in the projected global defense spending from 2008 through 2015. (Round your answer to three decimal places.)

$trillion/yr

(c) Assuming that the trend continues, what will the global spending on defense be in2016? (Round your answer to two decimal places.)

$trillion

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