Maharashtra HSC Mathematics & Statistics - Commerce (MSBSHSE) case studies
Maharashtra HSC Mathematics & Statistics - Commerce (MSBSHSE) · Put your knowledge to work in context.
The Maharashtra HSC Mathematics & Statistics (Commerce) paper is the Class 12 mathematics examination taken by commerce-stream students under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE). It is a board-conducted, pen-and-paper descriptive examination that contributes to the HSC (Class 12) result and to the percentage used for admission to commerce, management, and related degree programmes. The Maharashtra HSC Mathematics & Statistics - Commerce (MSBSHSE) case studies are 5 cases and about 3,602 words.
1Two machines, two products: is the overtime offer worth ₹1,500?
Vikas runs a fabrication unit in Nashik that makes two products, P and Q, on two machines. Each unit of P needs 2 hours on machine M1 and 1 hour on M2; each unit of Q needs 1 hour on M1 and 3 hours on M2.
733 words, about 4 min2A 10% price cut: right direction, wrong size
Neelam sells a kitchen appliance through a single online storefront. Her market survey for the coming season gives the demand relation p = 120 − 2x, where x is the quantity sold per month in hundreds of units and p is the price per unit in rupees; the relation is valid for 0 ≤ x ≤ 45.
735 words, about 4 min3Helpline staffing standard under Poisson arrivals and a binomial retraining rule
A city bank runs a chat helpline. Queries arrive at random and independently at an average of 2.5 per five-minute window in peak hours, and a Poisson model is considered appropriate.
677 words, about 3 min4Dearness allowance, real wages and two price indices
A trade union in Aurangabad is negotiating wages with a mid-sized engineering firm. The agreed base year is 2020 = 100, and the union's basket contains three items with these prices per unit and base-year quantities: Item Price 2020 (₹) Quantity 2020 Price 2023 (₹) --- --- --- --- Rice 20 10 25 Clothing 50 5 60 Transport 10 8 14 A worker's nominal monthly wage was ₹18,000 in 2020 and is ₹24,000 in 2023.
628 words, about 3 min5Two years of quarterly sales: seasonal indices and how far to trust them
Kirti imports and sells a seasonal garden product through the four quarters of the year. Audited sales, in ₹ lakh, are: 2022 - Q1 40, Q2 52, Q3 60, Q4 80; 2023 - Q1 48, Q2 60, Q3 70, Q4 92.
829 words, about 4 min