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A veterinarian mixes two types of animal food: Food 1 and Food 2. Each unit of Food 1 cost P200 and contains 40 grams of fat, 30 grams of protein, and 1, 200 calories. Each unit of Food 2 cost P180 and contains 40 grams of fat, 60 grams of protein, and 1,600 calories. Suppose the veterinarian wants each unit of the final product to yield at least 360 grams of fat, at least 240 grams of protein and at least 9, 600 calories, how many grams of each of type of ingredients should the veterinarian use to minimize his cost?


RB Music Store assembles stereo equipment for resale in the shop. The store offers two products; two products; turntables and cassette players. The store makes a profit of P400 on each turntable and P250 on each cassette. Both must go through two steps-assembly and bench checking. A turntable takes qw hours to assemble and 4 hours to bench check. A cassette player takes 4 hours to assemble but 8 hours to bench check. Looking at this month’s schedule, the store sees that it has 60 assembly hours uncommitted and 40 hours bench-cutting time available. What combination of turntables and cassette players would maximize the store’s profit for the month?


If the demand and supply curve for T-Shirts at Nagindas Store are:





D = 100 - 6P, S = 28 + 3P





Where P is the price of T-Shirts in dollars ($), what is the quantity of T-Shirt bought and sold at





equilibrium?





Q

A farmer has 5 hectares of land to plant with rice and corn. He needs to decide how many hectares of rice and corn to plant. He can make P200, 000 profit per hectare planted to rice and P250, 000 profit per hectare planted with corn. However, the corn takes 2 hours of labor per hectare to harvest and the rice takes 1 hour per hectare. The farmer has 8 hours of labor to harvest. To maximize his profit, how many hectares of each should he plant?

3.“OptionA” Method 

Create a method called “OptionA” that will print the conversion from pounds to kilograms by calling “PoundsToKilograms” method (defined in the item #4 below) starting at 200 pounds down to 50 pounds in decrements of 5. Show the result on a table in the console. 

4. “PoundsToKilograms” Method 

Create a method called “PoundsToKilograms” 

  • Name: PoundsToKilograms 
  • Parameter: A double representing the pounds 
  • Returns: A double representing the kilograms converted from pounds parameter 
  • Displays: Nothing 
  • Task: Calculates the conversion from pounds to kilograms. The converted kilogram is the returned value from the method. 

1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is





660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of





ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?


 Create a method called “OptionA” that will print the conversion from pounds to kilograms by calling “PoundsToKilograms” method (defined in the item #4 below) starting at 200 pounds down to 50 pounds in decrements of 5. Show the result on a table in the console. 


Prove: Use R - 3L for divisibility by 31.


Prove: Use R + 7L to determine if 23| N.


1. Starting from rest, an elevator weighing 8.9kN attains an upward velocity of 5m/s in 4 seconds with uniform acceleration. Find the apparent weight of a man weighing 667.23N standing inside the elevator during the ascent.


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