Hilary is a hard-working college senior. one saturday, she decides to work nonstop until she has answered 100 practice problems for her math course. she starts work at 8: 00 am and uses a table to keep track of her progress throughout the day. she notices that as she gets tired, it takes her longer to solve each problem.
time total problems answered
8: 00 am 0
9: 00 am 40
10: 00 am 70
11: 00 am 90
noon 100
use the table to answer the following questions.
the marginal, or additional, gain from hilary’s first hour of work, from 8: 00 am to 9: 00 am, isproblems.
the marginal gain from hilary’s third hour of work, from 10: 00 am to 11: 00 am, isproblems.
later, the teaching assistant in hilary’s math course gives her some advice. "based on past experience," the teaching assistant says, "working on 35 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour." for simplicity, assume students always cover the same number of pages during each hour they spend reading.
given this information, in order to use her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she have spent reading?
0 hours working on problems, 4 hours reading
1 hour working on problems, 3 hours reading
2 hours working on problems, 2 hours reading
3 hours working on problems, 1 hour reading

“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