Answer:
Explanation:
Annual demand (D) = 20000 units
Number of days per year = 250
Demand rate(d) = D/number of days per year = 20000/250 = 80 units
Production rate(p) = 655 units
Set up cost(S) = $1800
Holding cost (H) = $1.50
A) Optimum run size(Q) = sqrt of {2DS / H [1-(d/p)]}
= sqrt of {(2x20000x1800) /1.50[1-(80/655)]}
= Sqrt of [7200000/1.50(1-0.1221) ]
= sqrt of [72000000/(1.50 x 0.8779)]
= sqrt of (7200000/1.31685)
= Sqrt of 5467593.1199
= 2338 units
b) Maximum inventory ( I - max) = (Q/p) (p-d) = (2338/655)(655-80) = 3.5695 x 575 = 2052.46 or rounded off to 2052 units
Average inventory = I-max/2 = 2052/2 = 1026 units
C) Number of production setups per year = D/Q = 20000/2338 = 8.55 or rounded up to 6
d) optimal length of production run = optimal run size /production rate = 2338/655 = 3.56 or rounded up to 4 days
Answer:
depreciation expense 2021 = $6,200
depreciation expense 2022 = $6,700
Explanation:
depreciable value = $29,000 - $200 = $28,800
depreciation expense per mile driven = $28,800 / 144,000 = $0.20
number of miles driven during 2021 = 31,000
depreciation expense 2021 = 31,000 x $0.20 = $6,200
number of miles driven during 2020 = 33,500
depreciation expense 2022 = 33,500 x $0.20 = $6,700
Answer:
d) 34.17
Explanation:
we must first calculate the total overhead expenses = $120,000 (ordering and receiving) + $297,000 (machine setup) + $1,500,000 (machining) + $1,200,000 (assembly parts) + $300,000 (inspection) = $3,417,000
since overhead is applied based on direct labor hours, then the predetermined overhead rate = total overhead expenses / total direct labor hours = $3,417,000 / 100,000 labor hours = $34.17 per labor hour
Answer:
Number of units that must be sold to earn the target profit is 3000 units.
The contribution margin ratio is 0.70
Explanation:
We will use the break even analysis modified for target profit to calculate the number of units needed to earn the desired
The break even point in units is calculated by dividing the fixed cost by the contribution margin per unit. To calculate the number of units required to earn the desired profit, we add the desired profit to fixed cost and divide it by the contribution margin per unit.
Contribution margin per unit = 250 - 75 = $175
Number of units required to earn target profit = (325000 + 200000) / 175
Number of units required to earn target profit = 3000 units
The contribution margin ratio is = 175 / 250 = 0.7 or 70%
Dollar Sales required to earn target profit = $4,812,500
Answer:
The retail sector consistently accounts for around 5% of Gross Value Added in the UK economy. 14% of all UK investment made by large non financial-sector firms is made by large retailers. Retailers purchase around £180bn worth of goods for resale, supporting £47bn of output from other sectors.
