Prepare a production budget and variances

Please see attached file.

Utease Corporation has many production plants across the midwestern United States. A newly opened plant, the Bellingham plant, produces and sells one product. The plant is treated, for responsibility accounting purposes, as a profit center. The unit standard costs for a production unit, with overhead applied based on direct labor hours, are as follows:

Direct labor hours worked 34,000
Direct labor costs $3,094,000.00
Direct materials purchased 50,000 pounds
Direct materials costs $1,000,000.00
Direct materials used 50,000 pounds
Actual fixed overhead $1,080,000.00
Actual variable overhead $620,000.00
Actual selling and administrative costs $2,000,000.00

In addition, all over- or underapplied overhead and all product cost variances are adjusted to cost of goods sold.

Instructions
a) Prepare a production budget for the coming year based on the available standards, expected sales, and desired ending inventories.
b) Prepare a budgeted responsibility income statement for the Bellingham plant for the coming a year.
c) Find the direct labor variances. Indicate if they are favorable or unfavorable and why they would be considered as such.
d) Find the direct materials variances (materials price variance and quantity variance)
e) Find the total over- or underapplied (both fixed and variable) overhead. Would cost of goods sold be a larger or smaller expense item after the adjustment for over- or underapplied overhead?
f) Calculate the actual plant operating profit for the year.
g) Use a flexible budget to explain the difference between the budgeted operating profit and the actual operating profit for the Bellingham plant for its first year of operations. What part of the difference do you believe is the plant manager's responsibility?
h) Assume Utease Corporation is planning to change its evaluation of business operations in all plants from the profit center format to the investment center format. If the average invest capital at the Bellingham plant is $8,950,000, compute the return on investment (ROI) for the first year of operations. Use the Dupont method of evaluation to compute the return on sales (ROS) and capital turnover (CT) for the plant.
i) Assume that under the investment center evaluation plan the plant manager will be awarded a bonus based on ROI. If the manger has the opportunity in the coming year to invest in new equipment for $500,000 that will generate incremental earnings of $75,000 per year, would the manager undertake the project? Why or why not? What other evaluation tools could Utease use for its plants that might be better?
j) The chief financial officer of Utease Corporation wants to include a charge in each investment center's income statement for corporatewide administrative expenses. Should the Bellingham plant manger's annual bonus be based on plant ROI after deducting the corporatewide administrative fee? Why or why not?