Answer:
Step-by-step explanation:
![\frac{3750}{5000}*100=\frac{375}{5}=75](https://tex.z-dn.net/?f=%5Cfrac%7B3750%7D%7B5000%7D%2A100%3D%5Cfrac%7B375%7D%7B5%7D%3D75)
Mathew spends 75% of his earnings
Answer:
z=10
x1=0
x2=0
x3=3.33
Step-by-step explanation:
First Step convert your constraints in standard equations
so we have
x1 + 2x2 + 3x3+x4 = 10
x1 + x2 +x5= 5
x1 +x6= 1
Now we pass it all to the simplex table
Remember that we choose the column with the most negative value
Pivot Element=3
Divide all elements on Pivot Line by Pivot Element
Line x5= 0*Pivot Line +Line x5
Line x6= 0*Pivot Line+ Line X6
Line Z= 3* Pivot Line + Line Z
We finish when all the elements from the line Z are positive
Hence we have that x3=3.33 and x1=0, x2=0 and the max of z is 10
Answer:
3^3 * 7^r has (3 + 1)*(r + 1) = 16 factors.
So r must be 3.
1/5 five being the denominator, because in math you must always simplify