1. Prepare 20 mL of dextrose 7.5% weight in volume using dextrose 5% and dextrose 50%. how many milliliters of each will be needed?
2. A chemical comes in quantity of 25 vials and has an AWP of $135.the store has an agreement with the contractor to purchase that chemical at the AWP minus 10% the insurer is willing to pay the AWP plus 3 % plus a $4 dispensing fee. a patient on this ensures plan purchases 5 vials for $22.50. how much profit does the store make on this prescription? (Prescription=AWP+percentage+dispensing fee)
1. amount of 5.0% stuff --- x ml
amount of 50% stuff ---- 20-x
.05x + .5(20-x) = .075(20)
.05x + 10 - .5x = 1.5
-.45x = -8.5
x = -8.5/-.45 = 18.888... or appr 18.9 ml
2. don't understand the problem, no idea what AWP is
To answer these questions, we'll go step by step:
1. Prepare 20 mL of dextrose 7.5% weight in volume using dextrose 5% and dextrose 50%. How many milliliters of each will be needed?
To calculate the amount of each solution needed, we can use a simple proportion based on the desired concentration:
Let's say we need x mL of dextrose 5% and y mL of dextrose 50%. We know that the final volume should be 20 mL, and the concentration of dextrose 5% is 0.05, while the concentration of dextrose 50% is 0.5.
So, the proportion we can set up is:
(x * 0.05) + (y * 0.5) = 20 * 0.075
Now, we solve this equation to find the values of x and y:
0.05x + 0.5y = 1.5
However, there are multiple possible solutions to this equation. We need to set another condition to determine specific values. For example, we can assume that the volume of dextrose 5% and dextrose 50% should be equal, in which case x = y.
So, we now have the following equation:
0.05x + 0.5x = 1.5
Simplifying further:
0.55x = 1.5
Now solve for x:
x = 1.5 / 0.55
Once you calculate this, you'll find the value of x, which represents the mL of dextrose 5% needed. Since we assumed x = y, the amount of dextrose 50% needed will be the same.
2. A chemical comes in a quantity of 25 vials and has an AWP of $135. The store has an agreement with the contractor to purchase that chemical at the AWP minus 10%. The insurer is willing to pay the AWP plus 3%, plus a $4 dispensing fee. A patient on this insurance plan purchases 5 vials for $22.50. How much profit does the store make on this prescription?
To calculate the profit, we need to determine the cost to the store and subtract it from the selling price.
The store purchases the chemical at the AWP minus 10%. So, the cost to the store for one vial of the chemical is:
Cost to the store = AWP - (AWP * 10%)
Now, the insurer is willing to pay the AWP plus 3% and a $4 dispensing fee. So, the selling price to the patient is:
Selling price = AWP + (AWP * 3%) + $4
Since the patient purchases 5 vials for $22.50, we can set up the equation:
Selling price * 5 = $22.50
Now, we substitute the selling price formula we derived earlier:
(AWP + (AWP * 3%) + $4) * 5 = $22.50
Simplifying, we find:
AWP + (AWP * 3%) + $4 = $22.50 / 5
Now we can solve this equation for AWP:
AWP = ($22.50 / 5 - $4) / (1 + 3%)
Once you calculate the value of AWP, you can calculate the cost to the store and subtract it from the selling price to determine the store's profit.