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allsm [11]
2 years ago
11

A company produces two products, A and B. The sales volume for A is at least 80% of the total salces for both A and B. However,

the company cannot sell more than 100 units of A per day. Both products use one raw material, of which the maximum daily availability is 240 lb. The usage rater of the raw material are 2lb per unit of A and 4 lb per unit of B. The profit units for A and B are $20 and $50, repectively. Set this problem up as a linear program to determine the optimal product mix for the company. Then solve using excel. Next, answer the following questions: 1. How much should the company be willing to pay to increase the number of units of A that it can sell
Business
1 answer:
liberstina [14]2 years ago
3 0

Answer:

i) Z = 20( 80 ) + 50(20 ) =  $2600

ii) $3000

Explanation:

representing products  A and B as x₁ and x₂

using the given data

Max ( z ) = 20x₁ + 50x₂  ( optimal product mix for optimal profit )  ---- ( 1 )

0.8 ( x₁ + x₂ )  ≥ 0

0.8x₁  + 0.8x₂ ≥ 0 ------------ ( 2 )

also  x₁ ≤ 100 --- ( 3 )    considering the amount to be sold ( sales volume )

based on the availability of raw material

2x₁ + 4x₂ ≤ 240 ----- ( 4 )

resolve equations 2, 3, and 4 graphically

x₁ = 80 units , x₂ = 20 units

back to equation 1

Z = 20( 80 ) + 50(20 )

   = 1600 + 1000  = $2600

ii) To increase the number of units of A produced

given that x₁ ≤ 100   and the actual optimal units produced = 80 units

2600 + 20(100-80)

= 2600 + 20(20)  = 2600 + 400 = $3000

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Looking forward to next year, if Baldwin’s current cash balance is $20,201 (000) and cash flows from operations next period are
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On January 1, 2021, the general ledger of Dynamite Fireworks includes the following account balances:
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Answer:

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Debit Prepaid Rent $7,500

Credit Cash $7,500

To record the purchase of rental space in advance ($625/month).

2. January 9

Debit Supplies $4,000

Credit Accounts Payable $4,000

To record the purchase of additional supplies on account.

3. January 13

Debit Accounts Receivable $26,000

Credit Service Revenue $26,000

To record the provision of services to customers on account.

4. January 17

Debit Cash $4,200

Credit Deferred Revenue $4,200

To record the receipt of cash in advance for future services.

5. January 20

Debit Salaries Expense $12,000

Credit Cash $12,000

To record the payment of salaries.

6. January 22

Debit Cash $24,600

Credit Accounts Receivable, $24,600

To record the receipt of cash on account.

7. January 29

Debit Accounts Payable, $4,500

Credit Cash $4,500

To record the payment on account.

Adjustments on January 31.

8. Debit Rent Expense $625

Credit Prepaid Rent $625

To record the rent expense for January.

9. Debit Supplies Expense $4,300

Credit Supplies $4,300

To record the supplies expense for January.

10. Debit Deferred Revenue $3,575

Credit Service Revenue $3,575

To record revenue for services provided.

11. Debit Salaries Expense $5,450

Credit Salaries Payable $5,450

To accrue unpaid salaries at the end of January.

12. Debit Service Revenue $29,575

Credit Income Summary $29,575

To close the revenue account to the income summary.

13. Debit Income Summary $22,375

Credit:

Salaries Expense $17,450

Rent Expense $625

Supplies Expense $4,300

To close the expense accounts to the income summary.

Explanation:

a) Data and Calculations:

Accounts Debit Credit

Cash                      $ 24,300

Accounts Receivable 5,700

Supplies                     3,600

Land                        55,000

Accounts Payable                $ 3,700

Common Stock                     70,000

Retained Earnings                 14,900

Totals                  $ 88,600 $88,600

Transactions and Analysis:

January 2 Prepaid Rent $7,500 Cash $7,500 ($625/month).

January 9 Supplies $4,000 Accounts Payable $4,000

January 13 Accounts Receivable $26,000 Service Revenue $26,000

January 17 Cash $4,200 Deferred Revenue $4,200

January 20 Salaries Expense $12,000 Cash $12,000

January 22 Cash $24,600 Accounts Receivable, $24,600

January 29 Accounts Payable, $4,500 Cash $4,500

Adjustments on January 31.

Rent Expense $625 Prepaid Rent $625

Supplies Expense $4,300 Supplies $4,300

Deferred Revenue $3,575 Sales Revenue $3,575

Salaries Expense $5,450 Salaries Payable $5,450

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2 years ago
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