A coffee roaster in Richardson has opened a retail store adjacent to the production plant. The plant manager wishes to optimize the inventory costs of the company’s best-selling coffee. The annual demand for the coffee is 36,000 bags and the plant works 240 days per yr. The plant can roast the coffee at a rate of 200 bags per day. The cost to prepare the equipment to start a production run is $200 and the annual inventory carrying cost is $3.6 per year.

1. What is the maximum inventory achieved during a production run?
2. How many production runs are needed to meet the annual demand?
3. What is the average inventory of coffee?
4. What is the total annual cost of producing and storing the company's best-selling coffee?
5. What should be the optimum quantity of coffee to produce?

You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

While studying for the engineering economy final exam, you and two friends find yourselves craving a fresh pizza. you can't spare the time to pick up the pizza and must have it delivered. "pick-up-sticks" offers a 1-1/4-inch-thick (including toppings), 20-inch square pizza with your choice of two toppings for $15 plus 5% sales tax and a $1.50 delivery charge (no sales tax on delivery charge). "fred's" offers the round, deep-dish sasquatch, which is 20 inches in diameter. it is 1-3/4 inches thick, includes two toppings, and costs $17.25 plus 5% sales tax and free delivery. 1. what is the problem in this situation? state it in an explicit and precise manner. 2. systematically apply the seven principles of engineering economy (pp. 3-6) to the problem you have defined in part (a). 3. assuming that your common unit of measure is dollars (i.e., cost), what is the better value for getting a pizza based on the criterion of minimizing cost per unit of volume? 4. what other criteria might be used to select which pizza to purchase?

“wonderful! not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well,” said kim clark, president of martell company. “our $11,150 overall manufacturing cost variance is only 3% of the $1,536,000 standard cost of products made during the year. that’s well within the 3% parameter set by management for acceptable variances. it looks like everyone will be in line for a bonus this year.” the company produces and sells a single product. the standard cost card for the product follows: standard cost card—per unit direct materials, 4.00 feet at $4.00 per foot $ 16.00 direct labor, 1.1 direct labor-hours at $13 per direct labor-hour 14.30 variable overhead, 1.1 direct labor-hours at $2.40 per direct labor-hour 2.64 fixed overhead, 1.1 direct labor-hours at $6.50 per direct labor-hour 7.15 standard cost per unit $ 40.09the following additional information is available for the year just completed: a. the company manufactured 20,000 units of product during the year.b. a total of 77,000 feet of material was purchased during the year at a cost of $4.25 per foot. all of this material was used to manufacture the 20,000 units. there were no beginning or ending inventories for the year.c. the company worked 24,000 direct labor-hours during the year at a direct labor cost of $12.50 per hour.d. overhead is applied to products on the basis of standard direct labor-hours. data relating to manufacturing overhead costs follow: denominator activity level (direct labor-hours) 19,000 budgeted fixed overhead costs $ 123,500 actual variable overhead costs incurred $ 64,800 actual fixed overhead costs incurred $ 120,900required: 1. compute the materials price and quantity variances for the year. (round standard price and actual price to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 2. compute the labor rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 3. for manufacturing overhead compute: a. the variable overhead rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero b. the fixed overhead budget and volume variances for the year. (indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero