aro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow:

Compute the allocation of service department costs to producing departments using the direct method. (Do not round intermediate calculations.)

Total Costs

Machining

Assembly

Assume that both Machining and Assembly work on just two jobs during the month of August: CM-22 and CM-23. Costs are allocated to jobs based on machine-hours in Machining and labor-hours in Assembly. The number of labor- and machine-hours worked in each department are as follows:

How much of the service department costs allocated to Machining and Assembly in the direct method should be allocated to Job CM-22? How much should be allocated to Job CM-23?

Job cm-22 job cm-23

Machining

Assembly

Caro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow:

1)

Compute the allocation of service department costs to producing departments using the direct method. (Do not round intermediate calculations.)

Machining

Assembly

2) Assume that both Machining and Assembly work on just two jobs during the month of August: CM-22 and CM-23. Costs are allocated to jobs based on machine-hours in Machining and labor-hours in Assembly. The number of labor- and machine-hours worked in each department are as follows:

How much of the service department costs allocated to Machining and Assembly in the direct method should be allocated to Job CM-22? How much should be allocated to Job CM-23? (Round "Department rate" to 2 decimal places.)
CM-22 CM-23

Machining:

Assembly:

X-Cee-Ski Company recently expanded its manufacturing capacity, which will allow it to produce up to 21,000 pairs of cross-country skis of the mountaineering model or the touring model. The Sales Department assures management that it can sell between 9,000 and 14,000 pairs of either product this year. Because the models are very similar, X-Cee-Ski will produce only one of the two models.

The following information was compiled by the Accounting Department:

Fixed costs will total $320,000 if the mountaineering model is produced but will be only $220,000 if the touring model is produced. X-Cee-Ski is subject to a 40 percent income tax rate.

Required:

1. If X-Cee-Ski Company desires an after-tax net income of $48,000, how many pairs of touring model skis will the company have to sell?
pairs of touring skis

2. Suppose that X-Cee-Ski Company decided to produce only one model of skis. What is the total sales revenue at which X-Cee-Ski Company would make the same profit or loss regardless of the ski model it decided to produce?
$

3. If the Sales Department could guarantee the annual sale of 12,000 pairs of either model, which model would the company produce? (CMA adapted)
Mountaineering model

Feedback

1. See Cornerstone 16.4.

2. Determine operating income formulas for each ski model, set them equal to one another and solve for X (units)

3. Use the number of pairs given for X in the operating income formula for each model

The Outhouse Plumbing Company sells commercial plumbing pipe in lengths of 4 feet, 8 feet, and 15 feet.  Their supplier can only ship pipes that are 30 feet long.  Outhouse needs to determine how to cut the 30-foot pipes to meet the customer demand given below for the various pipe lengths.  The lean manager wants the pipes to be cut so that the total remaining unusable pipe (waste after cutting) is minimized.  Determine the patterns and cutting plan for Outhouse.  Customer Demand for the customers' pipes are 40, 25, and 13.  (Hint: there are seven unique cutting patterns.)

Set up and solve the problem to minimize the unusable waste for the company.

The optimal objective function value should be 26 feet of unusable pipe.

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (Each pair of variables has a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below. font size decreased by 1 font size increased by 1 Calories comma x 160 170 130 120 90 190 ​(a) xequals180 calories ​(b) xequals100 calories ​Sodium, y 415 465 350 370 270 530 ​(c) xequals150 calories ​(d) xequals220 calories Find the regression equation. ModifyingAbove y with caretequals nothingxplus​( nothing​) ​(Round to three decimal places as​ needed.) Choose the correct graph below. A. 0 200 0 560 Calories Sodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 270 units above the origin; 120 units to the right of and 370 units above the origin; 130 units to the right of and 350 units above the origin; 160 units to the right of and 415 units above the origin; 170 units to the right of and 465 units above the origin; 190 units to the right of and 530 units above the origin. A line rises from left to right and passes through the points (50, 173) and (100, 295). All coordinates are approximate. B. 0 200 0 560 Calories Sodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 10 units to the right of and 250 units above the origin; 20 units to the right of and 110 units above the origin; 30 units to the right of and 265 units above the origin; 40 units to the right of and 315 units above the origin; 70 units to the right of and 170 units above the origin; 70 units to the right of and 230 units above the origin. A line falls from left to right and passes through the points (0, 202) and (83, 0). All coordinates are approximate. C. 0 200 0 560 Calories Sodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 100 units to the right of and 285 units above the origin; 100 units to the right of and 320 units above the origin; 130 units to the right of and 420 units above the origin; 140 units to the right of and 400 units above the origin; 180 units to the right of and 480 units above the origin; 100 units to the right of and 320 units above the origin. A line rises from left to right and passes through the points (50, 179) and (100, 301). All coordinates are approximate. D. 0 200 0 560 Calories Sodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 70 units to the right of and 170 units above the origin; 100 units to the right of and 270 units above the origin; 110 units to the right of and 80 units above the origin; 130 units to the right of and 315 units above the origin; 130 units to the right of and 365 units above the origin; 150 units to the right of and 430 units above the origin. A line falls from left to right and passes through the points (0, 402) and (166, 0). All coordinates are approximate. ​(a) Predict the value of y for xequals180. Choose the correct answer below. A. 586.115 B. 488.995 C. 416.155 D. not meaningful ​(b) Predict the value of y for xequals100. Choose the correct answer below. A. 586.115 B. 416.155 C. 294.755 D. not meaningful ​(c) Predict the value of y for xequals150. Choose the correct answer below. A. 294.755 B. 416.155 C. 488.995 D. not meaningful ​(d) Predict the value of y for xequals220. Choose the correct answer below. A. 488.995 B. 586.115 C. 294.755 D. not meaningful

1. A doubly ionized particle of ¹⁷O (m = 2.822 x 10^-26 kg) moves at a speed of 5.680 x 10⁵ m/s through an 8.750 mT magnetic field, experiencing an acceleration of 4.370 x 10¹⁰ m/s².

(a) What is the magnitude of the centripetal force acting on the particle?

(b) What is the component of the velocity that moves the particle in a circular path?

(c) What is the angle that the velocity vector makes with the magnetic field vector?

(d) Does the particle move along the magnetic field? If so, at what speed?

(e) Elon Musk has decided that making solenoids would me much more lucrative than making electric cars, so that he wants to design and build a 1500-turn solenoid that runs on 2.750 A. What length does this solenoid need to produce the size magnetic field required for the ¹⁷O particle to move through?  

Please answer these questions:

1) A man stands on the edge of the roof of a 15.0-m tall building and throws a rock with a speed of 30.0 m/s at an angle of 33.3⁰ above the horizontal. Ignore air resistance. Calculate: the total time that the rock spends in the air?

2) A ball is thrown upward at an unknown angle with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground, and air resistance acting on the ball can be ignored. At what angle above the horizontal should the ball be thrown so that the runner catches it just before it hits the ground, and how far does the woman run before she catches the ball?

You are the manager of College Computers, a manufacturer of customized computers that meet the specifications required by the local university. Over 90 percent of your clientele consists of college students. College Computers is not the only firm that builds computers to meet this university’s specifications; indeed, it competes with many manufacturers online and through traditional retail outlets. To attract its large student clientele, College Computers runs a weekly ad in the student paper advertising its “free service after the sale” policy in an attempt to differentiate itself from the competition. The weekly demand for computers produced by College Computers is given by Q = 800 – 2P, and its weekly cost of producing computers is C(Q) = 1,200 + 2Q2. If other firms in the industry sell PCs at $300,

what price and quantity of computers should you produce to maximize your firm’s profits?

Price: $ _________________

Quantity: ________computers