zitterkoph
22.07.2019 •
Mathematics
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)
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Ответ:
Assembling: 3200 mins /32 mins per toy=100 toys
Packaging: 960 mins / 8 mins per toy= 120 toys
Company B:
Assembling: 3200 mins / 20 mins per toy= 160 toys
Packaging: 960 mins / 10 mins per toy= 96 toys
Ответ:
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
Ответ:
170
Step-by-step explanation:klbhbbiobihbkhbhkbvhkb