Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of
Protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans
Costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?
Fractional servings are allowed.
A) 4 servings of refried pinto beans and $\frac { 7 } { 3 }$ servings of kidney beans
B) $\frac { 23 } { 3 }$ servings of refried pinto beans and 0 servings of kidney beans
C) $\frac { 7 } { 3 }$ servings of refried pinto beans and 4 servings of kidney beans
D) $\frac { 19 } { 3 }$ servings of kidney beans and 0 servings of refried pinto beans

Question

Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of
Protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans
Costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?
Fractional servings are allowed. 
A) 4 servings of refried pinto beans and $\frac { 7 } { 3 }$ servings of kidney beans
B) $\frac { 23 } { 3 }$ servings of refried pinto beans and 0 servings of kidney beans
C) $\frac { 7 } { 3 }$ servings of refried pinto beans and 4 servings of kidney beans
D) $\frac { 19 } { 3 }$ servings of kidney beans and 0 servings of refried pinto beans

Quizplus · Accepted Answer

To meet the protein requirement (46g) and fiber requirement (38g) at the minimum cost, Janine should combine both types of beans. Kidney beans provide more protein per serving, which helps meet the protein requirement faster, but both beans provide the same amount of dietary fiber. By calculating the minimum servings needed to meet both requirements without exceeding them significantly, $\frac { 7 } { 3 }$ servings of refried pinto beans and 4 servings of kidney beans is the most cost-effective combination that meets the dietary requirements.

Suppose That Janine Desires 46 Grams of Protein and 38 73\frac { 7 } { 3 }37​

Suppose That Janine Desires 46 Grams of Protein and 38 $\frac { 7 } { 3 }$