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Quotation Estimate Mathematician in Pakistan Islamabad –Free Word Template Download with AI

Apex Mathematical Consulting Services (Pvt.) Ltd.

Office 412, Blue Area Commercial Complex, Jinnah Avenue, Pakistan Islamabad

Phone: +92-51-227-XXXX | Email: [email protected] | NTN: 7854-XXXX-XXX

Professional Mathematician Engagement

Quotation No.: QTE-2025-PK-0472
Date of Issue: 15 June 2025
Valid Until: 15 July 2025
Prepared For:
National Engineering Research Institute (NERI)
Sector H-9, Pakistan Islamabad
Attn: Dr. Ayesha Khan, Project Director

Dear Dr. Khan,

Thank you for considering Apex Mathematical Consulting Services for your upcoming research and analytical project. This Quotation Estimate outlines the comprehensive professional services of a senior Mathematician to be deployed at your facility in Pakistan Islamabad. We are pleased to present the following detailed cost breakdown and scope of engagement for your review and approval.

The Mathematician engaged under this Quotation Estimate shall provide the following professional services at the client's premises in Pakistan Islamabad:

  • Advanced mathematical modeling and simulation for structural engineering analysis (120 hours)
  • Development and validation of differential equation systems for thermal dynamics (80 hours)
  • Statistical analysis and probabilistic risk assessment for infrastructure projects (60 hours)
  • Optimization algorithm design and implementation using linear and non-linear programming (70 hours)
  • Preparation of technical mathematical documentation and peer-reviewed reports (40 hours)
  • Mentorship and training sessions for in-house engineering staff on applied mathematics (30 hours)
  • Weekly progress review meetings with the project management team in Pakistan Islamabad (24 hours)
Item No. Description of Service Duration / Qty Rate (PKR) Amount (PKR)
01 Senior Mathematician – Professional Fee (per hour) 424 hours 8,500 3,604,000
02 Mathematical Software Licensing (MATLAB, Maple, R Studio – annual) 1 license 450,000 450,000
03 Travel and Accommodation in Pakistan Islamabad (monthly) 6 months 185,000 1,110,000
04 Technical Documentation and Report Preparation 8 reports 45,000 360,000
05 Staff Training and Knowledge Transfer Sessions 6 sessions 65,000 390,000
06 Project Management and Coordination Overhead (10%) — — 631,400
07 Applicable Sales Tax (GST 18%) — — 1,136,532
TOTAL ESTIMATED COST (PKR) 7,681,932

* All amounts are quoted in Pakistani Rupees (PKR). Exchange rate reference: 1 USD ≈ 278 PKR as of the date of this Quotation Estimate.

The Mathematician recommended for this engagement holds a Ph.D. in Applied Mathematics from the Quaid-i-Azam University, Pakistan Islamabad, with over fourteen years of professional experience in computational mathematics, numerical analysis, and engineering optimization. The candidate has previously contributed to national infrastructure projects and holds publications in peer-reviewed journals including the Journal of Applied Mathematics and Mechanics and the Pakistan Journal of Science. The Mathematician is fluent in English and Urdu, ensuring seamless communication with all stakeholders in Pakistan Islamabad.

  • This Quotation Estimate is valid for thirty (30) calendar days from the date of issue. Any engagement beyond this period will require a revised Quotation Estimate.
  • Payment terms: 30% advance upon signing, 40% upon completion of the third month, and 30% upon final delivery and acceptance of all deliverables.
  • The Mathematician shall adhere to all data confidentiality and intellectual property agreements specific to the client's operations in Pakistan Islamabad.
  • Any scope changes exceeding 15% of the originally estimated hours will necessitate a supplementary Quotation Estimate approved in writing by both parties.
  • The Mathematician shall comply with all applicable labor regulations and professional conduct standards as governed by the Federal Government of Pakistan.
  • Disputes arising from this engagement shall be resolved through arbitration in Pakistan Islamabad in accordance with the Arbitration Act, 1940 of Pakistan.
  • This Quotation Estimate does not constitute a binding contract until a formal Service Agreement is executed by both parties.

By signing below, the client acknowledges receipt of this Quotation Estimate and agrees to the terms outlined herein for the engagement of the Mathematician in Pakistan Islamabad.

For Apex Mathematical Consulting Services (Pvt.) Ltd.

Mr. Tariq Mehmood
Chief Executive Officer
Date: _______________

For National Engineering Research Institute (NERI)

Dr. Ayesha Khan
Project Director
Date: _______________

Apex Mathematical Consulting Services (Pvt.) Ltd. | Blue Area, Jinnah Avenue, Pakistan Islamabad | NTN: 7854-XXXX-XXX

This Quotation Estimate is a confidential document intended solely for the named recipient. Unauthorized reproduction or distribution is strictly prohibited.

Document Reference: QTE-2025-PK-0472 | Page 1 of 1

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