An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. dominic noticed that the shelter spent $175.00 caring for birds and cats on monday. dominic found a record showing that there were a total of 22 birds and cats on monday. how many birds were at the shelter on monday?

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 < there are 3 birds

answer: 12

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints