A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1,and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine Iand 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3hours available on Machine I and 5 hours available on Machine II.(a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ 48X and $ 96X. (Enter your answers from smallest to largest.)(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenirheld at $1.20), given that the optimal profit of the company will be $196.80.$2(c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $1.50(with the contribution to the profit of a Type A souvenir held at $1.00)?$168

Answered: A company wishes to produce two types…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter2: Equations, Inequalities, And Problem Solving

Section2.3: Equations Involving Decimals And Problem Solving

Problem 51PS

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Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 40 grams of sulfur dioxide and 120 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 40 grams of particulate matter for each gallon produced. The company makes a profit of 80¢ per gallon and 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 36,000 grams of sulfur dioxide and 90,000 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? Wha is the maximum daily profit? Summarize the model, Maximize Objective function subject to V 36,000 Sulfur dioxide constraint V 90,000 Particulate constraint х, у 2…

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