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Soloha48 [4]
3 years ago
15

Maggie Stewart loves desserts. But, due to weight and cholesterol concerns, she has decided that she must plan her desserts care

fully. There are two possible desserts she is considering: snack bars and icecream. After reading the nutrition labels on the snack bar and ice-cream packages, she learns that each serving of a snack bar weighs 37 grams and contains 120 calories and 5 grams of fat. Each serving of icecream weighs 65 grams and contains 160 calories and 10 grams of fat. Maggie will allow herself no more than 450 calories and 25 grams of fat in her daily desserts, but because she loves desserts so much, she requires at least 120 grams of dessert per day.
Business
1 answer:
nika2105 [10]3 years ago
5 0

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

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Grand Lips produces a lip balm used for​ cold-weather sports. The balm is manufactured in a single processing department. No lip
77julia77 [94]

Answer:

a. see attachment

b.

total equivalent units : Materials = 30,500 units and Conversion Costs = 16,860

cost per equivalent unit : Materials = $0.14 and Conversion Costs = $0.30

c.

(a) units completed and transferred to Finished Goods = $6,732

(b) units still in process at June 30 = $1,196

d.

<u>Journals</u>

Work In Process :Direct Materials $4,305 (debit)

Raw Materials $4,305 (credit)

<em>Being Raw Materials used in Production</em>

Work In Process :Direct Labor  $3,320 (debit)

Salaries Payable $3,320  (credit)

<em>Being Labor used in Production</em>

Work In Process ; Overheads $1,738 (debit)

Overheads $1,738 (credit)

<em>Being Overheads Assigned to Production</em>

Finished Goods $6,732 (debit)

Work In Process $6,732 (credit)

<em>Being Units transferred to Finished Goods</em>

Explanation:

<u>Calculation of Equivalent units of Production in respect with Raw Materials and Conversion Costs</u>

1. Materials

Ending Work In Process (5,200 × 100%)                                         5,200

Completed and Transferred Out (15,300 × 100%)                         15,300

Equivalent units of Production in respect with Raw Materials     30,500

2. Conversion Costs

Ending Work In Process (5,200 × 30%)                                            1,560

Completed and Transferred Out (15,300 × 100%)                         15,300

Equivalent units of Production in respect with Conversion Cost 16,860

<u>Calculation of Cost per Equivalent unit of production  in respect with Raw Materials and Conversion Costs</u>

Unit Cost = Total Cost ÷ Total Equivalent units

1. Materials

Unit Cost =  $4,305 ÷ 30,500

                = $0.14

2. Conversion Costs

Unit Cost =  ($3,320 + $1,738) ÷ 16,860

                = $0.30

3. Total unit cost

Total unit cost = Material Cost + Conversion Cost

                        = $0.14 + $0.30

                        = $0.44

<u>Calculation of costs assigned to (a) units completed and transferred to Finished Goods and (b) units still in process at June 30.</u>

(a) units completed and transferred to Finished Goods

Total Cost = units completed and transferred out × total unit cost

                 = 15,300 × $0.44

                 = $6,732

(b) units still in process at June 30.

Total Cost = Materials Cost + Conversion Cost

                 = $0.14 × 5,200 + $0.30 × 1,560

                 = $1,196

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