The Sanders Garden Shop mixes two types of grass nood into a blend, Bach type of grass has been rated (per pound) according to its shade toleranco, ability to stand up to tramo, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed
costs $2. If the blend needs to score at least 310 points for shade tolerance, 420 points for tramo resistance, and 750 points for
drought resistance, how many pounds of each type of grass soed should be in the blond to minimize the total cost?
Type A
1
Type B
1
Shade Tolerance
Tramio Resistance
2
1
Drought Resistance
2
a. (35 points) Write the formulation for this linear program. No need to solve it
b. (10 points) Write the formulation in the Lingo programming format

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

47 - 90 = 43

43 - 180 = x

x = 137