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
Answer:
11%
Explanation:
Average cost of automobiles in 2013 = $15,500
Average cost of automobiles now = $17,205
Change in average cost = $17,205 - $15,500
= $1,705
Rate of increase in cost is the ratio between the increase and the average cost before the increase.
Rate of increase = ($1,705/$15,500) × 100%
= 11%
The rate of increase for these automobiles between the two time periods is 11%.
Answer: sales forecast
Explanation:
The sales forecast section is a key section of your business plan.
This section relates directly to the market analysis, competitive edge, marketing plan and pricing sections (see our guide to writing a business plan).
Answer:
$20.94
Explanation:
first we must determine the present value of the the 3 rent amounts:
PV = $20/1.1 + $21/1.1² + $22/1.1³ = 52.07
then you need to calculate the payment considering the following values:
- principal = $52.07
- n = 3
- i = 10%
using a loan calculator payment = $20.9381 ≈ $20.94