Question Solved1 Answer A cosmetics company has created two new perfumes: Summer Passion and Ocean Breeze. It costs $5.25 to purchase the fragrance needed for each bottle of Summer Passion and $4.70 for each bottle of Ocean Breeze. The marketing department has stated that at least 30% but no more than 70% of the product mix must be Summer Passion; the forecasted monthly demand is 7,000 bottles and is estimated to increase by nine bottles for each $1 spent on advertising. For Ocean Breeze, the demand is forecast to be 12,000 bottles and is expected to increase by 17 bottles for each $1 spent on advertising Summer Passion sells for $42.00 per bottle and Ocean Breeze for $30.00 per bottle. A monthly budget of $100,000 is available for both advertising and purchase of the fragrances. Complete parts a and b. a. Develop and solve a linear optimization model to determine how much of each type of perfume should be produced to maximize the net profit. Note that the amounts can be fractions of bottles The cosmetics company should produce bottles of Summer Passion and bottles of Ocean Breeze, and should spand $ on advertising for Summer Passion and $ on advertising for Ocean Breeze. The net profit is $ [] (Round to two decimal places as needed.)

An operations manager who supervises an assembly line has been experiencing problems with the sequencing of jobs. The problem is that bottlenecks are occurring because of the inconsistency of sequential operations. He decided to conduct an experiment wherein two different methods were used to complete the same task. He measured the times (in seconds). The An operations manager who supervises an assembly line has been experiencing problems with the sequencing of jobs. The problem is that bottlenecks are occurring because of the inconsistency of sequential operations. He decided to conduct an experiment wherein two different methods were used to complete the same task. He measured the times (in seconds). The data are listed here. Can he infer that the second method is more consistent than the first method? (15)

Please do all 3 questions. Thank you. For parts of the free response question that require calculations, clearly show the method used and the steps involved in arriving at your answers. You must show your work to receive credit for your answer. Examples and equations may be included in your answers where appropriate. A student determines the mass percent of iron in a sample of iron ore by doing a redox titration. The student finds the mass of the sample and then dissolves it in acid to a total volume of 25.00 mL. Using a buret, the student titrates the 25.00 ml solution with 0.017 M K,C1,07. The following reaction occurs during the titration. Cr,0,? (aq) + 6 Fe2+ (aq) + 14 11+ (aq) + 2 Cr3+ (aq) + 6 Fe (aq) + 7 H1,0(1) The student collects the following data Mass of iron ore in original sample Buret reading at end point 0.36 g 45.52 mL 15.05 mL Initial buret reading (a) How many moles of Fe2+ (aq) reacted with the Cr, 0,2- (aq)? B 7 u x X 5 C 12 0/10000 Word limit < (6) Assuming that all the iron in the ore was Fe2+, calculate the mass percent of iron in the ore sample. (b) Assuming that all the iron in the ore was fet calculate the mass percent of iron in the ore sample. B I U x? X2 C 12 0/10000 Word Limit ©) The student learns that the actual mass percent of iron in the ore sample is greater than the experimental value calculated in part (b). The student claims that the difference between the actual and experimental values could have been caused by rinsing the buret with distilled water just prior to filling it with 0.017 M K,Cr,0(aq). Do you agree with the student's claim? Explain your reasoning. В І x X2 5 Ω Ee

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are $400,000 for a standard production run that generates 110,000 pints of Smooth Skin and 140,000 pints of Silken Skin. Smooth Skin sells for $2.80 per pint, while Silken Skin sells for $4.00 per pint. Required: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are $1.50 per pint for Smooth Skin and $1.00 per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are $1.50 per pint for Smooth Skin and $1.00 per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requirements, do not round intermediate calculations. Round final answers to nearest whole dollar amounts.) 1. 2. Relative sales value method - Smooth Skin Physical measure method - Silken Skin Net realizable value method - Silken Skin Physical measure method - Smooth Skin 3. 4.

The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affords: Ea In k = In A- RT For a plot of y = Ink versus x = 1/T, calculate the slope of the best straight line using linear regression.

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Requlred: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requlrements, do not round Intermedlate calculations. Round flnel answers to nearest whole doller amounts.)

The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 5/yr. However, commercial fishing removes fish mass at a constant rate of 12 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be? When will all the fish be gone? Inco The fish will all be gone in years. (Round to three decimal places as needed.)