At a pre-school gym, 52.1% of the students are girls. What is the probability that a randomly chosen student is boy?

This is a classic retirement problem. A time line will help in solving it. Your friend is celebrating her 35th birthday today an

xeze [42]

Answer:

a. $21,725.65

b. $19,385

c. 27,421.32

Explanation:

Savings = 125,000

Annuity Formula :

$(\frac{1}{1.07})^{30}$ [ $\frac{125,000}{0.07}$ ( $1 - \frac{1}{1.07 ^}^{20}$ ) ] = $\frac{A}{0.07}$ ( $1 - \frac{1}{0.07 ^ } ^{30}$ )

Solving the equation we get,

A = $21,725.65

7 0

3 years ago

Calculating ABC Unit Costs Perkins National Bank has collected the following information for four activities and two types of cr

ELEN [110]

Answer:

The unit cost for classic and gold is $34,96 and $8.35 respectively.

Explanation:

The computation of the unit cost for classic is shown below:

= (Processing transactions × activity rate + Preparing statements × activity rate + Answering questions × activity rate + Providing ATMs × activity rate) ÷ number of holders

= (12,000 × 0.20 + 12,000 × 0.95 + 24,000 × 4.00 + 48,000 × 1.50) ÷ 5,200 holders

= (2,400 + 11,400 + 96,000 + 72,000) ÷ 5,200 holders

= 181,800 ÷ 5,200 holders

= $34.96

The computation of the unit cost for Gold is shown below:

= (Processing transactions × activity rate + Preparing statements × activity rate + Answering questions × activity rate + Providing ATMs × activity rate) ÷ number of holders

= (7,200 × 0.20 + 7,200 × 0.95 + 36,000 × 4.00 + 14,400 × 1.50) ÷ 20,800 holders

= (1,440 + 6,840 + 144,000 + 21,600) ÷ 20,800 holders

= 173,880 ÷ 20,800 holders

= $8.35

5 0

3 years ago

The General Chemical Company uses 150,000 gallons of hydrochloric acid per month. The cost of carrying the chemical in inventory

galina1969 [7]

Answer:

ROQ will be 32863 gallons

So option (a) will be the correct answer

Explanation:

We have given that company uses 150000 gallons of hydrochloric acid per month

Ordering cost = $150

And the holding cost = $0.5

We know that 1 year = 12 month

So annual demand = 12 ×150000 = 1800000

We have to fond the economic order quantity EOQ

We know that EOQ is give by

$EOQ=\frac{2\times annual\ demand\ \times ordering\ cost}{holding\ cost}=\frac{2\times 1800000\times 150}{0.5}=32863.35=3286gallons$

So option (a) will be correct answer

8 0

3 years ago

Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operat

Sidana [21]

Answer: SEE EXPLANATION

A. 198.27 UNITS

B. 99.14 UNITS

C. 30.76 ORDERS

D. 8.12 DAYS

E. $1,784.43

Explanation:

Given the following ;

Annual order = 6,100

Carrying cost = $9 per unit per year

Ordering cost = $29

A) EOQ =sqrt[( 2 × Annual order × (ordering cost ÷ carrying cost)]

EOQ = sqrt[2 ×6100 × (29÷9)]

EOQ = sqrt(12200 × 3.22222222)

EOQ = 198.27 units

B.) AVERAGE INVENTORY :

EOQ ÷ 2

198.27 ÷ 2 = 99.14 UNITS

C.) Optimal number of orders per year:

Demand / order per year

6,100 ÷ 198.27 = 30.76 orders

D.) Optimal number of days between two orders:

Number of working days ÷ optimal number of orders

250 ÷ 30.76 = 8.12 days.

E.) Annual cost of ordering and holding inventory:

$198.27 × $9 = $1,784.43

8 0

3 years ago

Elfalan Corporation produces a single product. The cost of producing and selling a single unit of this product at the company's

kolezko [41]

Answer:

Effect on income= $68,580 increase

Explanation:

Because it is a special order, and there is unused capacity, we will not take into account the fixed costs. Only the variable ones.

First, we need to calculate the unitary cost:

Unitary cost= 46.1 + 8.8 + 1.8 + 1.3

Unitary cost= $58

Now, the effect on the income of accepting the offer:

Effect on income= 2,700*(83.4 - 58)

Effect on income= $68,580 increase

8 0

3 years ago