Quantative problem solving Essay Example | Topics and Well Written Essays - 2500 words

Quantative problem solving - Essay Example On the other hand, Carol recommends the Exer-Trim program of the XYZ Fitness Club which offers a daily pass and use of gym and other health facilities worth $2.56 inclusive of supplements at a fixed annual cost of $307. As a challenge to herself, Tanya has to decide on the option that would enable her to lose weight and save money on the first 60 days prior to their out-of-the-country vacation. A. Analyze the cost of each option algebraically – Each cost equation may be written in the slope-intercept form y = mx + b, Assuming that the value of the daily set meal under the U-Light program is not subject to change, then Tanya would have to pay a constant rate of $5.13 if she chooses to diet without workout and agree to cover the $145-annual fee. Hence, the cost of enrolment for the U-Light package may be set, depending on the number of days (t) signed up for, as: C(t) = 5.13*t + 145 (in which the slope (m) is the rate $5.13 charge per day and the y-intercept (b) assumes the fixe d cost of $145 (on a yearly basis)). Considering the Exer-Trim program, nevertheless, Tanya has the alternative of visiting the XYZ club for an extensive workout that can make her thoroughly fit even in the absence of restricting diet on food. She just needs to pay a uniform daily rate of $2.56 that comes with fixed settlement of $307 for supplementary items such that, depending also on the number of days (t) enrolled for, it would cost her: C(t) = 2.56*t + 307 (in which the slope (m) is the rate $2.56 charge per day and the y-intercept (b) is given by the fixed cost of $307 (on a yearly basis)) C(t) stands for ‘cost in dollars’ whereas ‘t’ represents the number of days (diet and exercise) and to find solution where the values of C(t) and t are the same for both schemes, equate 5.13*t + 145 = 2.56*t + 307 which becomes 2.57*t = 162 (on combining like terms) ---? t ? 63.035 days (upon division of each side by 2.57) Then, substituting this value of ‘tâ €™ into one of the original equations: C(63.035) = 5.13*(63.035) + 145 ---? C(63.035) ? $468.37 This means that the solution is approximately at: B. Depict the real-world problem on a single graph – Sketch of the Graph: Total Workout or Diet Meal Cost (per package) C(t) t-days (diet or exercise) C. Discuss a decision-making process that is based on both mathematical reasoning and non-financial, or situational, considerations. After solving the system of equations and sketching each linear graph on the xy-plane, Tanya can now decide according to the following outcomes: At t > 63.035 days, it would cost Tanya too much to go on a south beach diet with U-Light program whereas at t < 63.035 days, it is rather expensive to go after extensive workout with Exer-Trim program. Since Tanya’s priority is to save money for the first 60 days of her weight loss scheme, she must then opt for the U-Light program and go on south beach diet that merely includes one pass to the gym. T he graph shows that she can save more for the Bali-getaway if she agrees to pay $5.13 a day for a south beach diet meal with fixed annual service charge of $145. In that case, she would

Psycho-pharmacology review Research Paper Example | Topics and Well Written Essays - 500 words

Psycho-pharmacology review - Research Paper Example When taken by pregnant women, the drug is known to cause various birth defects. Studies reveal that sertraline is very effective in the treatment of some subtypes of depression and panic disorder but not in the treatment of obsessive-compulsive disorder (O'Kearney). Although the drug is used to treat social phobia and posttraumatic stress disorder, it leads to only modest improvement in these conditions. 2. Ritalin: The generic name of this drug is methylphenidate hydrochloride which is a central nervous system stimulant. Ritalin is used in the treatment of attention-deficit hyperactivity disorder (ADHD) in children and adults. It is also used in the symptomatic management of narcolepsy. Ritalin can become addictive. Some of the common side effects of this drug include nervousness, agitation, anxiety or irritability, trouble sleeping (insomnia), loss of appetite, headache, stomach ache, nausea, dizziness and heart palpitations. It is also known to cause some serious side effects like slowing of growth in children, seizures and eyesight changes or blurred vision. Although there is no information regarding the safety and effectiveness of long-term Ritalin treatment in children, it has been found to be very effective in the treatment of ADHD (St. Louis Psychologists and Counseling Information and Referral).