9. Sometimes economic goals conflict with one another, therefore societies must prioritize their

g Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an orde

Karolina [17]

Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the stores leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Columbian mild coffee beans, which are purchased from a distributor from New York City. Because Romans purchases large quantities the coffee beans may be purchased om an as need basis for the price of 10% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Columbian Mild The composition of each coffee blend are as follows:

Bean Regular DeCaf Blend

Brazilian Natural 75% 40%

Columbian Mild 25% 60%

Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 1000 pounds of Romans Regular coffee and 500 pounds of Romans DeCaf coffee. The production cost is $0.80 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.25 per pound. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.

Answer:

$\mathbf{Max \ Z = 2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD}$

Explanation:

From the given information:

The total revenue can be illustrated as :

Total revenue = 3.6 BR + 4.4 BD + 3.6 CR + 4.4 CD

On the other hand; the total cost of the beans is:

= 1.1 (0.47 BR + 0.47 BD + 0.62 CR + 0.62 CD)

= 0.517 BR + 0.517 BD + 0.682 CR + 0.682 CD

Also; The total production cost is :

= 0.8 BR + 1.05 BD + 0.8 CR + 1.05 CD

The total profit = Total revenue - Total Cost of Beans - Total Production Cost

The total profit = $\left[\begin{array}{}3.6 BR + 4.4 BD + 3.6 CR + 4.4 CD\\- (0.517 BR + 0.517 BD + 0.682 CR + 0.682 CD)\\-(0.8 BR + 1.05 BD + 0.8 CR + 1.05 CD)\end{array}\right]$

The total profit = 2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD

Therefore the linear programming model represents the Objective function of the total profit as:

$\mathbf{Max \ Z = 2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD}$

3 0

2 years ago

The following is a trial balance of Barnhart Company as December 31, Year 1: Account Title: Debit Credit Cash 12,500 Accounts Re

Tanzania [10]

Answer:

The total amount of assets is 15,750.

Explanation:

Reproducing the trial balance below for clarity:

Account Title Debit Credit

Cash 12,500

Accounts Receivable 3,250

Accounts Payable 2,800

Common Stock 6,600

Retained Earnings 4,500

Service Revenue 7,450

Operating Expenses 5,100

Dividends 500

Total 21,350 21,350

Calculation of Total Assets:

Total assets = Cash + Accounts Receivable

= 12,500 + 3,250

= 15,750

Note that among the given accounts, accounts cash and accounts receivable are assets; accounts payable is a liability; common stock and retained earnings are part of the capital; service revenue is a form of revenue; while operating expenses and dividends are expenses.

7 0

3 years ago

If a bank that desires to hold no excess reserves and has just enough reserves to meet the required reserve ratio of 10 percent

Misha Larkins [42]

Answer:

c. $360 increase in excess reserves and a $40 increase in required reserves

Explanation:

Required reserves is the amount of reserves that is required by the Central bank that banks should keep.

Required reserve = reserve ratio × deposit

= 0.1 × $400 = $40

Excess reserve is the amount of reserves kept in excess of the required reserves.

Excess reserve = Deposit - Required reserve = $400 - $40 = $360

I hope my answer helps you

4 0

3 years ago

The standard factory overhead rate is $7.50 per machine hour ($6.20 for variable factory overhead and $1.30 for fixed factory ov

lesantik [10]

Answer:

$26,000 adverse variance

Explanation:

Fixed Overheads Volume Variance = Budgeted Overheads at Actual Output - Budgeted Fixed Overheads

= $1.30 x 60,000 hours - $1.30 x 80,000

= $78,000 - $104,000

= $26,000 adverse variance

The fixed factory overhead volume variance is $26,000 adverse variance

7 0

2 years ago

An employee that has integrity is

damaskus [11]

Explanation:

Integrity is the quality of having strong ethical or moral principles and following them at all times, no matter who's watching. A person with integrity acts with honesty, honor, and truthfulness.

5 0

2 years ago