Devin runs a factory that makes Blu-ray players. Each R80 takes 9 ounces of plastic and 2 ounces of metal. Each G150 requires 3 ounces of plastic and 6 ounces of metal. The factory has 270 ounces of plastic, 348 ounces of metal available, with a maximum of 18 R80 that can be built each week. If each R80 generates $8 in profit, and each G150 generates $9, how many of each of the Blu-ray players should Devin have the factory make each week to make the most profit? R80:

G150:

Best profit:

9514 1404 393

  R80: 12

  G150: 54

  Best Profit: $582

Step-by-step explanation:

Let x and y represent the numbers of R80 and G150 players, respectively. The constraints of the problem are ...

  0 ≤ x ≤ 18 . . . . . a maximum of 18 R80 can be built

  0 ≤ y . . . . . . . . . only non-negative numbers can be built

  9x +3y ≤ 270 . . . . ounces of plastic used cannot exceed 270

  2x +6y ≤ 348 . . . . ounces of metal used cannot exceed 348

The objective is to maximize the profit function ...

  P(x, y) = 8x +9y

The attached graph shows profit is a maximum of $582 per week when 12 R80 players and 54 G150 players are produced.

_____

Since the maximum profit is at a value of x less than 18, we didn't bother to graph that constraint.

anser is a

step-by-step explanation:

negitive slope

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !