Our manufacturing plant produces bookshelves, couches, and workta-
bles. we have 400 hours of labor that are available to us each week, and 1000
units of lumber as raw materials. each bookshelf produced yields a prot of $6,
consumes 12 hours of labor, and 40 units of lumber. each couch yields a prot of
$5, consumes 14 hours of labor, and 22 units of lumber. each worktables yields a
prot of $8, consumes 16 hours of labor, and 60 units of lumber. write a linear
program to determine how many bookshelves, couches, and worktables should be
produced to maximize prots, subject to labor and lumber restrictions. (you may
allow fractional production; do not compute the optimal solution.)

y=mx+

b

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4