Question

tach pour d of Sener Czers feast requ res 06 b ar wheat and a 2 or ,tamn ennched senn, and each pood or os Greures O А cereal manufacture, makes two diferent cnds of ceres, Srior Otzen s reast and iods Go. and et lent í СОО粅ore veannemehed seep. of wheat, 0 2 lb of sugar, ando. 2 of vitamirennched syrup. Supplers can deliver at mest 2000 of-heat, at most 000 lb a, wear, (a) Write the inequalites that describe how many pounds of each type of cereal can be made (Let x represent the number of pounds of Senior Ciin's Feent, and let y represent the number of pounes of kids Go.) wheat constraint sugar constraint pounds of Senior Citizen's Fes pounds of Kids Go constraint (b) Gragh the region determined by these constraint inequalities 6000 2000 1000 2000 4000 6090000 000 4000 6000000

Answer 1

Constraint due to wheat

0.6 0.4y 2800

Constraint due to Vitamin-enriched syrup

0.2 0.2y 1000

Constraint due to sugar

0.2y < 800

The above system of inequalities can be written as

3r + 2y S 14000 rt y 5000 y 4000

b) The graph which these three inequalties determine is shown in second diagram