The Whitewave dairy company produces three-cheese spreads- Aged Cheddar, Brie, and Pecorino. The cheese spreads are packaged in 1.5-pound containers, which are then sold to distributors throughout the Northeast. The Aged Cheddar blend must have at least 65% extra sharp cheddar, the Pecorino blend must contain at least 15% extra sharp cheddar and the Brie blend must contain at least 22% extra sharp cheddar. The company has orders for 1500 containers of Aged Cheddar, 2000 containers of Pecorino and 1000 containers of Brie. This year, a local dairy cooperative offered to provide the three ingredients that will be used in the production process. They can offer up to 200 pounds of ingredient 1 for $1.22 per pound, up to 1800 pounds of ingredient 2 for $1.60 per pound and up to 3200 pounds of ingredient 3 for 1.85 per pound. Ingredient 1 consists of 65% mild cheddar and 35% extra sharp while ingredient 2 consists of 45% mild and 55% extra sharp. Ingredient 3 consists of 22% mild and 78% extra sharp Formulate a Linear Programming model to determine the optimal production plan.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

answer: (x+2) (x+3) are the binomials for your question : )