Answer:
The option that maximizes Maggie's taste index is 1 snack bar and 2 ice creams
Explanation:
<u>snack bar</u> <u>ice cream</u>
37 grams 65 grams
120 calories 160 calories
5 grams of fat 10 grams of fat
Maggie wants to consume up to 450 calories and 25 grams of fat, but she needs at least 120 grams of dessert per day. Ice cream taste 95, snack bars 85.
- maximize taste index = [85(37X) + 95(65Y)] / (37X + 65Y)
- 5X + 10Y ≤ 25 ⇒ CONSTRAINT 1
- 120X + 160Y ≤ 450 ⇒ CONSTRAINT 2
- 37X + 65Y ≥ 120 ⇒ CONSTRAINT 3
- X ≥ 0 ⇒ CONSTRAINT 4
- Y ≥ 0 ⇒ CONSTRAINT 5
maximum possible combinations following constraint 1, 4 AND 5:
- option 1: 1 snack bar - 2 ice creams (5 + 20 = 25)
- option 2: 2 snack bars - 1 ice cream (10 + 10 = 20)
- option 3: 3 snack bars - 1 ice cream (15 + 10 = 25)
possible combinations following constraint 2:
- option 1: 1 snack bar - 2 ice creams (120 + 320 = 440)
- option 2: 2 snack bars - 1 ice cream (240 + 160 = 400)
possible combination following constraint 3:
- option 1: 1 snack bar - 2 ice creams (37 + 130 = 167)
- option 2: 2 snack bars - 1 ice cream (74 + 65 = 139)
since we only have two possibilities, we can calculate which one generates the highest taste index
maximize taste index = [85(37X) + 95(65Y)] / (37X + 65Y)
- option 1: 1 snack bar - 2 ice creams = [85(37) + 95(130)] / (37 + 130) = (3,145 + 12,350) / 167 = 92.78
- option 2: 2 snack bars - 1 ice cream = [85(74) + 95(65)] / (74 + 65) = (6,290 + 6,175) / 139 = 89.68
The firm should choose system A because it has a six-year life and a lesser annual operating cost.
<u>Explanation</u>:
- Even though system A costs $438,000 the quality of the system is good. The quality of system A has a six-year life. So the quality is pretty good. It has an $83,000 tax annual operating cost.
- System B costs $369,000 . Compared to the cost of system A, system B is low. But it has a $92,000 tax annual operating cost. This tax is higher than A.
- System A has a higher life compared to system B. So the firm should choose system A.
This would be a controlled experiment. You would randomly assign people into groups and watch their behavior as they interact with different temperatures. You would have two experimental groups and one control group.
Jerome could be taking inventory. This process ensures that the business has the raw goods it needs to operate.
Answer:
The correct answer is A.
Explanation:
Giving the following information:
Standard Hours= 0.2 hours
Standard Rate= $11.00
Actual output of 3,500 units
Actual direct labor-hours 530 hours
To calculate the direct labor efficiency variance, we need to use the following formula:
Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate
Standard quantity= 0.2 hours*3,500 units= 700 hours
Direct labor time (efficiency) variance= (700 - 530)*11= $1,870 favorable
It is favorable because a lower number of hours were required to make 3,500 units than estimated.