What are the resource inequalities for the following situation?

Producing a bookshelf requires 8 boards and 12 screws. Producing a TV stand requires 6 boards and 14 screws. Each bookshelf yields $27 profit, and each TV stand yields $25 profit. There are 55 boards and 130 screws available.

• 8x+12y≤558x+12y≤55, 6x+14y≤1306x+14y≤130, x≥0x≥0, y≥0y≥0
• 8x+6y≤558x+6y≤55, 12x+14y≤13012x+14y≤130, x≥0x≥0, y≥0y≥0
• 8x+12y≤278x+12y≤27, 6x+14y≤256x+14y≤25, x≥0x≥0, y≥0y≥0
• 8x+6y≤278x+6y≤27, 12x+14y≤2512x+14y≤25, x≥0x≥0, y≥0

Ivanka Trump after moving to Pakisatan and has purchase PC hotel Karachi in November 2020 and renamed it Ivayana. The hotel is a 5 star luxury hotel consisting of 100 single rooms 70 double rooms and 40 Suites. The average night stay in a single room costs Rs 8000. Double bed cost Rs 19000 and suite costs Rs 35000. On average 70 single rooms, 60 double rooms and 35 suites are occupied. Besides, there are 4 ball rooms. The ball rooms are always available for booking but they only get booked on Saturdays and Sundays. Each ball room has capacity of 300 people and rental charged for each booking is RS 130,000. 10 Rooms in each category are paid by credit card. The payment is received a week later. 50% amount related to ball room are received in same month and 50% in next month. The rental charge for ball rooms was Rs 100,000 in 2020. The charge for rooms has not changes since last year and have remained same. The hotel is charged local tax of Rs 5000 each week which is paid in the same month. The hotel has a staff of 150 people. 30 kitchen staff which receive 18% of the amount received againts the bill charged for the meals. On average the kitchen staff receive 90 orders for meal with the average billing of Rs 8000 per meal. the amount of meals billed is immediately collected and the kitchen staff is paid in the 1^st week of next month. The room service and the janitorial satff are 40 which are paid Rs 18000/month at last day of same month. 10 is the num of other lower staff for misc services and they are paid 15000/month at last day of same month. The remainig 20 are the senior executive staff, their remuniration details are not shared. The hotel is powered by solar panels and the, its maintenance is outsourced to a company solarex, they charge Rs 200,000 quarterly, which is paid in 2 installments. 50% is paid in the 1^st month of quarter and the rest is paid in the last month of quarter. The opening cash in hand was Rs 100,000.

Prepare Cash budget for the 1^st quarter of 2021.                (PLO 2.1, CLO 1)                                13 marks

Hint: Consider reviewing the actual calendar for 2021.

Ivanka Trump after moving to Pakisatan and has purchase PC hotel Karachi in November 2020 and renamed it Ivayana. The hotel is a 5 star luxury hotel consisting of 100 single rooms 70 double rooms and 40 Suites. The average night stay in a single room costs Rs 8000. Double bed cost Rs 19000 and suite costs Rs 35000. On average 70 single rooms, 60 double rooms and 35 suites are occupied. Besides, there are 4 ball rooms. The ball rooms are always available for booking but they only get booked on Saturdays and Sundays. Each ball room has capacity of 300 people and rental charged for each booking is RS 130,000. 10 Rooms in each category are paid by credit card. The payment is received a week later. 50% amount related to ball room are received in same month and 50% in next month. The rental charge for ball rooms was Rs 100,000 in 2020. The charge for rooms has not changes since last year and have remained same. The hotel is charged local tax of Rs 5000 each week which is paid in the same month. The hotel has a staff of 150 people. 30 kitchen staff which receive 18% of the amount received againts the bill charged for the meals. On average the kitchen staff receive 90 orders for meal with the average billing of Rs 8000 per meal. the amount of meals billed is immediately collected and the kitchen staff is paid in the 1^st week of next month. The room service and the janitorial staff are 40 which are paid Rs 18000/month at last day of same month. 10 is the number of other lower staff for misc services and they are paid 15000/month at last day of same month. The remainig 20 are the senior executive staff, their remuniration details are not shared. The hotel is powered by solar panels and the, its maintenance is outsourced to a company solarex, they charge Rs 200,000 quarterly, which is paid in 2 installments. 50% is paid in the 1^st month of quarter and the rest is paid in the last month of quarter. The opening cash in hand was Rs 100,000.

Prepare Cash budget for the 1^st quarter of 2021.   

Hint: Consider reviewing the actual calendar for 2021.

MCE

Craig, Inc., has provided the following information for one of its products for each hour of production:

Required:

1. Calculate MCE. If required, round your answer to two decimal places.

2. What is the theoretical cycle time? Calculate MCE using actual and theoretical cycle times. If required, round your answers to two decimal places.

3. What if waste is reduced by 50 percent?
New waste =  minutes

What is the new MCE? If required, round your answer to two decimal places.

What is the new cycle time?
minutes

Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint

Comfy Fit Company manufactures two types of university sweatshirts, the Swoop and the Rufus, with unit contribution margins of $5 and $15, respectively. Regardless of type, each sweatshirt must be fed through a stitching machine to affix the appropriate university logo. The firm leases seven machines that each provides 1,000 hours of machine time per year. Each Swoop sweatshirt requires 6 minutes of machine time, and each Rufus sweatshirt requires 20 minutes of machine time.

Assume that a maximum of 40,000 units of each sweatshirt can be sold.

Required:

1. What is the contribution margin per hour of machine time for each type of sweatshirt? When computing your answers, round machine time per unit to two decimal places. Round your final answers to the nearest dollar.

2. What is the optimal mix of sweatshirts? When computing your answers, round machine time per unit to two decimal places. Round your final answers to the nearest whole unit.

3. What is the total contribution margin earned for the optimal mix?
$

Todd’s Direct, a major TV sales chain headquar-tered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new out-let in the center of Mobile’s population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. CENSUS TRACT POPULATION IN CENSUS TRACT X, Y MAP COORDINATES 1. 101 2,000(25, 45) 2. 102 5,000 (25, 25) 3. 103 10,000 (55, 45) 4. 104 7,000 (50, 20) 5. 105 10,000 (80, 50) 6. 106 20,000 (70, 20) 7. 107 14,000 (90, 25) a) At what center-of-gravity coordinates should the new store be located? b) Census tracts 103 and 105 are each projected to grow by 20% in the next year. How will this influence the new store’s coordinates

An entrepreneur was opening a new fitness equipment store and wanted to determine the quantity of each type aerobic equipment she needed to have in inventory. In a previously opened store she opened, historical data showed the following to be monthly sales by machine in terms of percentage of units sold:

Treadmill 42%

Elliptical 22%

Stairmaster 22%

Recumbent bike 14%

She sold 200 total units in the first month of business with the following distribution:

Treadmill 91

Elliptical 35

Stairmaster 47

Recumbent bike 27

* THESE ARE THE OBSERVED VALUES

If her expected sales are to match her previous store, did her observed values equal her expected values at a 5% level of significance?

*Use and show the 5-step process along with any supporting information.

Expected Values

Treadmill 200 x .42 = 84

Eliptical 200 x .22 = 44

Stairmaster 200 x .22 = 44

Recumbent Bike 200 x .14 = 28

Step 1: H₀=

H_A=

Step 2: alpha =

Step 3: Test Statistic:

Step 4: Decision Rule:

Step 5: Calculation and Decision: X²= E((f₀-f_e)²/f_e)=

Reject or do not reject H₀? Why?

Using swap.s as a starting point and conforming to the stack frame structure explained above, provide MINIMAL MIPS assembly codes which EXACTLY match the desired behavior of C program below. Note that the selection function does not return value, instead it stores the outcome into the address (*list, a pointer of the array data, means the beginning address of the array data) provided by the caller. Hence, the caller needs to allocate a local variable, temp, in the stack.

void main()

{ int data[10] = {55, 44, 22, 33, 77, 0, 11, 99, 88, 44};

int size = 10, i;

selection(data, 0, 0, size, 1);

printf("The sorted list in ascending order is\n");

for (i = 0; i < size; i++)

{ printf("%d ", data[i]);

} } void selection(int *list, int i, int j, int size, int flag)

{

int temp;

if (i < size - 1)

{

if (flag)

{

j = i + 1;

}

if (j < size)

{

if (list[i] > list[j])

{

temp = list[i];

list[i] = list[j];

list[j] = temp;

}

selection(list, i, j + 1, size, 0);

}

selection(list, i + 1, 0, size, 1);

}

}

A business manager in a health-care facility has been investigating the cost of maintaining patients within its plan. A sample of 20 cases for the last month reported the following: 1 $1,168.00 5 $1,165.00 9 $1,125.00 13 $1,324.00 17 $1,179.00 2 $1,225.00 6 $1,345.00 10 $1,276.00 14 $1,445.00 18 $1,253.00 3 $1,195.00 7 $1,240.00 11 $1,423.00 15 $1,345.00 19 $1,435.00 4 $1,054.00 8 $1,187.00 12 $1,239.00 16 $1,186.00 20 $1,252.00

What is Hypothesis?

In the context of the problem in Q1 (health care facility), describe any one research problem and the related hypothesis to be tested; remember to identify the null and alternate hypothesis

You are gearing up to open a new wine shop. In an effort to optimize wine sales, you collect data by observing your competition and noting what people are ordering during happy hour. Below is data collected during a 2 week period.

Explain why we need to do a one-way ANOVA test with this data. Perform a one-way ANOVA test at a 5% level of significance with F*= 4.08 Explain the decision we make and Build 95% confidence interval for each type of wine. Explain what this means.