SOLUTION: For a given week, Latoya's Coffee House has available 900 ounces of A grade coffee and 1000 ounces of B grade coffee. These are blended into packages as follows: a deluxe blend tha
Algebra.Com
Question 1204141: For a given week, Latoya's Coffee House has available 900 ounces of A grade coffee and 1000 ounces of B grade coffee. These are blended into packages as follows: a deluxe blend that contains 4 ounces of A grade coffee and 8 ounces of B grade coffee, and a special blend that contains 9 ounces of A grade coffee and 5 ounces of B grade coffee. Let x be the number of deluxe blend packages sold. Let y be the number of special bland packages sold. Shade the region corresponding to all values of x and y that satisfy these requirements.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
x = number of deluxe blend packages sold
y = number of special blend packages sold
x and y are nonnegative whole numbers which means and are two constraints. It will mean we focus on the upper right quadrant.
Here's a table organizing what the instructions mentioned
| Grade A | Grade B |
| Deluxe Blend | 4x | 8x |
| Special Blend | 9y | 5y |
| Total | 900 | 1000 |
The first column produces the constraint and the second column gets us
The four contraints we have are:
Once again we're focused on the upper right quadrant only.
In this quadrant, we'll shade below the boundary lines 4x+9y = 900 and 8x+5y = 1000 to get the final answer that is shown here
These boundary lines are solid because of the "or equal to" portions of the inequality signs. It will mean points on the boundary are valid solutions. The boundary points must be adjacent to the interior shaded region.
The green line represents 4x+9y = 900. That line goes through (0,100) and (225,0)
The blue line represents 8x+5y = 1000. That line goes through (0,200) and (125,0)
GeoGebra and Desmos are great graphing tools for this sort of problem.
There are other online calculators that can offer similar capabilities.
RELATED QUESTIONS
a jar of instant coffee contains 16 and one third ounces of coffee. how many cups of... (answered by lwsshak3)
A particular type of vacuum-packed coffee packet contains an average of 16 ounces. It has (answered by CPhill)
A coffee machine dispenses coffee according to a
normal distribution, with a mean of... (answered by rothauserc)
coffee A, coffee B, and coffee C are combined to 52 lb batch of coffee. Twice as many... (answered by TimothyLamb)
A coffee merchant wants to make 25lbs of a blend of coffee to sell for $4.25 per pound.... (answered by checkley75)
A coffee merchant wants to make 45 lb of a blend of coffee to sell for $5.80 per pound.... (answered by josgarithmetic)
A coffee merchant wants to make 45 lb of a blend of coffee to sell for $5.80 per pound.... (answered by ikleyn)
A coffee company uses Columbian and Brazilian beans to make two blends of coffee, robust... (answered by stanbon)
If grade A coffee costs .95 cents a pound and grade b coffee costs .75 cents a pound, how (answered by ankor@dixie-net.com,checkley77)