Concept explainers
Checkpoint 2 Worked-out solution available at LarsonAppliedCalculus.com
From 2007 through 2012, the consumption B (in pounds per person) of blueberries in the United States can be modeled by
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Calculus: An Applied Approach (MindTap Course List)
- The bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over with a college education, by final degree earned.The median yearly salary of an American whose final degreeis a doctorate is $45 thousand less than twice that of an American whose final degree is a bachelor’s. Combined,two people with each of these educational attainments earn $198 thousand. Find the median yearly salary of Americanswith each of these final degrees.arrow_forwardA low resting heart rate can mean a high degree of physical fitness, which is associated with reducedrates of cardiac events like heart attacks. By working out regularly in the gym, the heart becomes moreefficient, pumping the lowest amount of blood one needs when in a relaxed state. Normal resting heartrate for adults ranges from 60 to 100 beats per minute but a well-trained athlete can have a normal restingheart rate as low as 40 beats per minute. Dr. Castillejo wants to know if her gym members have attainedthis average resting heart rate of athletes. Use the R commander output below to address Dr. Castillejo’sconcern . Write a brief report about the analysis by identifying the set of hypotheses to be tested, theappropriate test to use, and implications and recommendations of/from the conclusions.arrow_forwardTeresa Rodríguez, an appliance salesperson, receives a fixed weekly salary plus a commission, which is a percentage of her sales. One week, between fixed salary and the percentage of sales of $3,000, she receives $850. The following week, between fixed salary and the percentage of sales of $4,000, she receives $1,000. Determine her weekly salary and the percentage she receives from her sales. Remember that: weekly fixed salary + weekly commission = weekly salary.arrow_forward
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- Apple Inc. has a demand for its Iphone 8 and Iphone 8s phones in the Philippines for the 4th Quarter of 2017. They haveto allot time to manufacture 7,000 units of Iphone 8 and 3,000 units of Iphone 8s on the last week of August. The profit perunit of Iphone 8s is Php10,000 and the profit per unit of Iphone 8 is Php8,000. The hourly capacity of the machine thatproduces Iphone 8 is 125 units and the hourly capacity of the machine that produces Iphone 8s is 100 units. Apple Inc.would like to maximize their profit with the available 80 hours of machine time for 1 week for both machines. (a) Formulate LP model and (b) solve 2 decision variables using graphical methodarrow_forwardA production manager is trying to determine how many units of two types of products to produce each day. One of these is the Standard model, while the other is the Luxurious model. The profit per unit on the Standard model is R600, while the profit per unit on the Luxurious model is R400. The Standard model requires 20 minutes of assembly time, while the Luxurious model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Luxurious model requires 0.25 hour of inspection time. To meet a specific order, at least 6 Luxurious models must be produced. There are 450 minutes of assembly time and 3 hours of inspection time available each day. Make use of Linear programming graphical method to determine how many units of each product that should be manufactured to maximize profits?arrow_forwardThe bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over with a college education, by final degree earned.The median yearly salary of an American whose finaldegree is a master’s is $70 thousand less than twice that of an American whose final degree is a bachelor’s. Combined,two people with each of these educational attainments earn $173 thousand. Find the median yearly salary of Americans with each of these final degrees.arrow_forward
- the percentage of electricity generated from nature gas was 23% in 2010 and has increased by about 0.8 percentage points per year. the percentage of electricity generated from coal was 47% in 2010 and has decreased by about 0.7 percentage point per year. predict when the percentage of electricity generated from natural gas will be equal to that from coal. what is that percentage?arrow_forwardChildren between the ages of 1 and 3 years old are recommended to take 700 mg of calcium per day. This amount would represent 100% of the daily intake of calcium per day for a child (i.e. if the child was to ingest 700 mg of calcium per day). In one typical day, your client who is a 2 year old toddler drinks two cups of milk (240 mL) and eats 2 cups of yogurt. Each cup of milk contains 30% of the daily calcium intake required by that toddler. Each yogurt cup is 60 mL and contains 15% of the daily calcium intake needed for that toddler. How much (in percentage) of his daily calcium intake did this child get for this day from the milk only (using both cups)? How much calcium in mg did this child consume for that whole day based on his consumption of both the milk and yogurt (all 4 cups combined)?arrow_forwardChildren between the ages of 1 and 3 years old are recommended to take 700 mg of calcium per day. This amount would represent 100% of the daily intake of calcium per day for a child (i.e. if the child was to ingest 700 mg of calcium per day). In one typical day, your client who is a 2 year old toddler drinks two cups of milk (240 mL) and eats 2 cups of yogurt. Each cup of milk contains 30% of the daily calcium intake required by that toddler. Each yogurt cup is 60 mL and contains 15% of the daily calcium intake needed for that toddler. How much (in percentage) of his daily calcium intake did this child get for this day (from all milk and yogurt consumption)? How much (in percentage) of his daily calcium intake did this child get for this day from the yogurt only (using both cups)? How much (in percentage) of his daily calcium intake did this child get for this day from the milk only (using both cups)?arrow_forward
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