Problem page a manufacturer produces two models of toy airplanes. it takes the manufacturer 32 minutes to assemble model a and 8 minutes to package it. it takes the manufacturer 20 minutes to assemble model b and 10 minutes to package it. in a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. model a earns a profit of   $ 10   for each unit sold and model b earns a profit of   $ 8   for each unit sold. assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? note that the aleks graphing calculator can be used to make computations easier. model a: unit(s) model b: unit(s)

A=80units for model A

B=32units for model B

Step-by-step explanation:

We take A as the quantity produced for model A and B as the quantity for model B.  

the total available time for assembling is

3200

the total available time for packaging is

960

Therefore 32A+20B≤3200

                 8A+10B≤960

we will arrive at maximum production when all the units are used up

32A+20B=3200       assembling time

8A+10B=960            packaging minutes

solving the sumultaneius equation using substitution method

from equation 1

B=(3200-32A)/20

B=160-1.6A

substitute B into equation 2

8A+10(160-1.6A)=960

8A=640

A=80

from equation 2

8A+10B=960    

8(80)+10B=960

B=32

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35