Let's analyze Robert's intake of vitamins from his lunch and see if it meets at least 75% of the recommended daily allowance for each vitamin.
Recommended Daily Allowances:
- Vitamin B12: [tex]\(2.4 \, \mu g \, / \, day\)[/tex]
- Vitamin C: [tex]\(75 \, mg \, / \, day\)[/tex]
- Vitamin E: [tex]\(15 \, mg \, / \, day\)[/tex]
### Vitamin B12:
- From the salmon fillet: [tex]\(5.87 \, \mu g\)[/tex]
- From green beans and strawberries: [tex]\(0.0 \, \mu g\)[/tex]
Total Vitamin B12 intake: [tex]\(5.87 \, \mu g\)[/tex]
75% of the recommended intake for Vitamin B12:
[tex]\[ 0.75 \times 2.4 \, \mu g = 1.8 \, \mu g \][/tex]
Comparison:
[tex]\[ 5.87 \, \mu g \geq 1.8 \, \mu g \][/tex]
Robert meets at least 75% of the Vitamin B12 requirement.
### Vitamin C:
- From the green beans: [tex]\(12.1 \, mg\)[/tex]
- From the strawberries: [tex]\(49.0 \, mg\)[/tex]
Total Vitamin C intake: [tex]\(12.1 \, mg + 49.0 \, mg = 61.1 \, mg\)[/tex]
75% of the recommended intake for Vitamin C:
[tex]\[ 0.75 \times 75 \, mg = 56.25 \, mg \][/tex]
Comparison:
[tex]\[ 61.1 \, mg \geq 56.25 \, mg \][/tex]
Robert meets at least 75% of the Vitamin C requirement.
### Vitamin E:
- From the salmon fillet: [tex]\(0.60 \, mg\)[/tex]
- From the green beans: [tex]\(0.57 \, mg\)[/tex]
- From the strawberries: [tex]\(0.42 \, mg\)[/tex]
Total Vitamin E intake: [tex]\(0.60 \, mg + 0.57 \, mg + 0.42 \, mg = 1.59 \, mg\)[/tex]
75% of the recommended intake for Vitamin E:
[tex]\[ 0.75 \times 15 \, mg = 11.25 \, mg \][/tex]
Comparison:
[tex]\[ 1.59 \, mg < 11.25 \, mg \][/tex]
Robert does not meet at least 75% of the Vitamin E requirement.
### Conclusion:
Robert meets at least 75% of the daily recommended intake for Vitamin B12 and Vitamin C only.
Hence, the correct answer is:
B. vitamin B12 and vitamin C only
