An agricultural company has 80 tons of Type I fertilizer and 120 tons of Type II fertilizer. The company mixes both types of fertilizer into 3 products. Product X requires 3 parts of Type I and 1 part of Type II. Product Y requires 1 part of Type I and 4 parts of Type II. Product Z requires half a part of Type I and 2 parts of Type II. Product X is sold at $2000 per ton, Product Y at $1500 per ton, and Product Z is sold at $2500 per ton. Use the following decision variables: x: number of tons to mix of Product X
y: number of tons to mix of Product Y
z: number of tons to mix of Product Z

Requried:
Formulate the company's mathematical optimization problem.

Required information problem 15-1a production costs computed and recorded; reports prepared lo c2, p1, p2, p3, p4 [the following information applies to the questions displayed below. marcelino co.'s march 31 inventory of raw materials is $84,000. raw materials purchases in april are $540,000, and factory payroll cost in april is $364,000. overhead costs incurred in april are: indirect materials, $59,000; indirect labor, $26,000; factory rent, $38,000; factory utilities, $19,000; and factory equipment depreciation, $58,000. the predetermined overhead rate is 50% of direct labor cost. job 306 is sold for $670,000 cash in april. costs of the three jobs worked on in april follow. job 306 job 307 job 308 balances on march 31 direct materials $30,000 $36,000 direct labor 25,000 14,000 applied overhead 12,500 7,000 costs during april direct materials 133,000 210,000 $100,000 direct labor 105,000 150,000 101,000 applied overhead ? ? ? status on april 30 finished (sold) finished in process (unsold) required: 1. determine the total of each production cost incurred for april (direct labor, direct materials, and applied overhead), and the total cost assigned to each job (including the balances from march 31). a-materials purchases (on credit). b-direct materials used in production. c-direct labor paid and assigned to work in process inventory. d-indirect labor paid and assigned to factory overhead. e-overhead costs applied to work in process inventory. f-actual overhead costs incurred, including indirect materials. (factory rent and utilities are paid in cash.) g-transfer of jobs 306 and 307 to finished goods inventory. h-cost of goods sold for job 306. i-revenue from the sale of job 306. j-assignment of any underapplied or overapplied overhead to the cost of goods sold account. (the amount is not material.) 2. prepare journal entries for the month of april to record the above transactions. 3. prepare a schedule of cost of goods manufactured. 4.1 compute gross profit for april. 4.2 show how to present the inventories on the april 30 balance sheet.

Identify and describe a variety of performance rating scales that can be used in organizations including graphical scales, letter scales, and numeric scales.

The following transactions and events that occurred in the village of kowitt gorge during the calendar year 2019: 1. the village commissioners adopted the following budget: estimated revenues: property taxes $1,850,000 all other revenues 300,000 total revenues $2,150,000 appropriations: all departments other than police $1,000,000 police—salaries 600,000 police—fringe benefits 450,000 police—supplies 80,000 total appropriations $2,130,000 2. the village received, in cash, property taxes of $1,840,000 and all other revenues of $295,000. 3. the village made cash payments, charging the following appropriations: all departments other than police $1,000,000 police—salaries 595,000 police—fringe benefits 390,000 4. the administrator of fringe benefits received an invoice for police employee health insurance in the amount of $95,000, together with a letter from the insurance provider, explaining that the large increase was caused by a change in federal laws. the invoice could not be paid because the police—fringe benefits appropriation had a balance of only $60,000 (appropriation of $450,000 minus expenditures in item 3 of $390,000). as a result, the village commissioners amended the budget as follows: increase: appropriation for police—fringe benefits $35,000 decrease: appropriation for police—salaries 5,000 decrease: appropriation for police—supplies 25,000 use of fund balance 5,000 5. the village paid the invoice for $95,000, referred to in item 4 above, charging the appropriation for police—fringe benefits. 6. the police department placed po 2019a for firearms in the amount of $30,000 and po 2019b for uniforms in the amount of $20,000, all charged to the appropriation for police—supplies. (enter these pos as one transaction.) 7. after receiving po 2019a, the supplier notified the police department that a change in the design of the weapons would increase the cost to $32,000. the department sent the supplier an amended po, increasing it by $2,000. 8. the police department received the uniforms ordered on po 2019b, together with an invoice for $20,000. the department approved the invoice for payment. record the transactions and events applicable to the appropriations for police—fringe benefits and police—supplies in the following appropriations ledger. notes: use a negative sign with your answers if: 1. the amount entered in the appropriation column is a debit (dr.) rather than a credit (cr.); or 2. the amount entered in the expenditures column is a credit (cr.) rather than a debit ( in the available appropriation column, enter the appropriate balance after every transaction/event, even if a transaction isn't recorded in a particular ledger for that transaction. for transaction 6, enter both purchase orders (pos) as one combined transaction. appropriations ledger appropriation: police - fringe benefits appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 appropriations ledger appropriation: police - supplies appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0