Let "c" and "q" represent the numbers of bottles of Classic and Quantum that should be produced each day to maximize profit. The problem conditions give rise to 3 inequalities:
.. 0.500c +0.550q ≤ 100 . . . . . . . liters of water
.. 0.600c +0.200q ≤ 100 . . . . . . . kg of sugar
.. 0.1c +0.2q ≤ 32 . . . . . . . . . . . . . grams of caramel
These can be plotted on a graph to find the feasible region where c and q satisfy all constraints. You find that the caramel constraint does not come into play. The graph below has c plotted on the horizontal axis and q plotted on the vertical axis.
Optimum production occurs near c = 152.17 and q = 43.48. Examination of profit figures for solutions near those values reveals the best result for (c, q) = (153, 41). Those levels of production give a profit of 6899p per day.
To maximize profit, Cartesian Cola should produce each day
.. 153 bottles of Classic
.. 41 bottles of Quantum per day.
Profit will be 6899p per day.
_____
The problem statement gives no clue as to the currency equivalent of 100p.
Answer:
43 and 56/12
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Probability is calculated by divided the amount of something you have by the total amount. In this case, 5 red cubes by 10 total cubes to get .5. This falls into evens in your probability scale.
Calleigh should put in 30 pennies
Answer:
Dimension of gymnasium= 9 units and (3x+2) units.
Step-by-step explanation:
We have been given the area of a gymnasium is
square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.
Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

Upon factoring out 9 from our given expression we will get,

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.