A factory can produce two products, x and y, with a profit approximated by p = 14 x + 22 y − 900. The production of y must exceed the production of x by at least 100 units. Moreover, production levels are limited by the formula x + 2 y ≤ 1400. Identify the vertices of the feasible region. What production levels yield the maximum profit, and what is the maximum profit?.

Did the universe cool off or get hotter as it expanded after the 'big bang"?

This graph represents four ecosystems. each ecosystem has a different number of species, adding to its biodiversity. different colors represent different species. which statements correctly summarize the data depicted by the graph? 1. ecosystem d has more biodiversity than ecosystem c. 2. ecosystem b has more biodiversity than all the other ecosystems. 3. ecosystem a has more biodiversity than ecosystem b but less biodiversity than ecosystem c. 4. ecosystem b has more biodiversity than ecosystems c and d but less biodiversity than ecosystem a. 5. ecosystem a has more biodiversity than ecosystem c but less biodiversity than ecosystem b.

Which scenario describes intraspecific, indirect competition? a. a peacock defends its territory against another peacock. b. lions and hyenas compete for the same prey animals. c. a male black bear eats fish in an area of a lake, so other black bears can’t. d. different species of birds fight over spilled popcorn on the ground.