Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8 milligrams of sodium and 5 calories. She want a bowl of cereal that contains no more than 200 milligrams of sodium and 150 calories. let A equal number of grams of cereal of A and B equal the number of grams of cereal B where A>0 and B>0 which system of inequality represent the possible way Dakota can mix the cereal ?

Let's assume

x be the number of loads by land carriers

y be the number of loads by air carriers

so, maximum number of loads can be 150

total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

so, we get

the mail is sent via ground in air each land carrier takes 2000 pieces per load

so, total number of pieces by land =2000x

each air carrier takes 1500 pieces per load the

so, total number of pieces by air =1500y

total number of pieces = (total number of pieces by land)+(total number of pieces by air)

now, we can plug values

total number of pieces =2000x+1500y

A mail distribution center processes as many as 175000 pieces of mail each day

so, we get

so, we get system of inequality as

................Answer