**Problem Description:**A chemical manufacturing plant can produce $ z $ units of chemical Z given $ p $ units of chemical P and $ r $ units of chemical R, based on the equation:\[z = 90p^{0.84}r^{0.16}\]- **Cost Information:** - Chemical P costs $500 per unit. - Chemical R costs $4,500 per unit. - **Budget Constraint:** - The company has a total budget of $843,750.**Questions:**- **A)** How many units of each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? - Units of chemical P, $ p = $ [Input box] - Units of chemical R, $ r = $ [Input box]- **B)** What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) - Max production, $ z = $ [Input box] units---This setup requires solving for the optimal number of units of chemicals P and R that should be purchased to maximize the production of chemical Z. The solution will need to adhere to the budget constraint of $843,750 and take into account the cost per unit of each chemical. The equation provided for $ z $ reflects the production function dependent on the quantities of P and R.

Answered: Image /qna-images/answer/361104e6-b0ac-4079-a310-bae8c883b02c.jpg

Answered: A chemical manufacturing plant can…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1.What formulas should be used in Excel?2. What is t? What is w?To use all three models: M1: d = 1.0356t + 339.29 M2: d= 7163t + 116.7679w + 315.0262 M3: (the one considering weekdays) to predict the demand for seven days ahead (Mon, Tue, …, Sun) and find the total weekly demand. M1 M2 M3 Mon. Tue. Wed. Thu. Fri. Sat. Sun. TOTAL: ****I added the part i already completed for context in the photos****

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