{"id":6716,"date":"2020-09-26T09:54:59","date_gmt":"2020-09-26T09:54:59","guid":{"rendered":"https:\/\/tnboardsolutions.com\/?p=6716"},"modified":"2021-07-08T03:22:38","modified_gmt":"2021-07-08T08:52:38","slug":"samacheer-kalvi-11th-business-maths-guide-chapter-6-ex-6-3","status":"publish","type":"post","link":"https:\/\/tnboardsolutions.com\/samacheer-kalvi-11th-business-maths-guide-chapter-6-ex-6-3\/","title":{"rendered":"Samacheer Kalvi 11th Business Maths Guide Chapter 6 Applications of Differentiation Ex 6.3"},"content":{"rendered":"

Students can download 11th Business Maths Chapter 6 Applications of Differentiation Ex 6.3 Questions and Answers, Notes, Samcheer Kalvi 11th Business Maths Guide<\/a>\u00a0Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.<\/p>\n

Tamilnadu Samacheer Kalvi 11th Business Maths Solutions Chapter 6 Applications of Differentiation Ex 6.3<\/h2>\n

Samacheer Kalvi 11th Business Maths Applications of Differentiation Ex 6.3 Text Book Back Questions and Answers<\/h3>\n

Question 1.
\nThe following table gives the annual demand and unit price of 3 items
\n\"Samacheer
\nOrdering cost is \u20b9 5 per order and holding cost is 10% of unit price. Determine the following:
\n(i) EOQ in units
\n(ii) Minimum average cost
\n(iii) EOQ in rupees
\n(iv) EOQ in years of supply
\n(v) Number of orders per year
\nSolution:
\nItem A:
\nDemand rate, R = 800
\nOrdering cost, C3<\/sub> = \u20b9 5
\nCarrying cost C1<\/sub> = 10% of unit price
\n= \\(\\frac{10}{100}\\) \u00d7 0.02<\/p>\n

(i) EOQ in units
\n\"Samacheer<\/p>\n

(ii) Minimum Average Cost = C0<\/sub> = \\(\\sqrt{2 \\mathrm{RC}_{3} \\mathrm{C}_{1}}\\)
\n= \\(\\sqrt{2 \\times 800 \\times 5 \\times \\frac{10}{100} \\times 0.02}\\)
\n= \\(\\sqrt{800 \\times 0.02}\\)
\n= \\(\\sqrt{16.00}\\)
\n= \u20b9 4<\/p>\n

\"Samacheer<\/p>\n

(iii) EOQ in rupees = EOQ \u00d7 Unit price
\n= 2000 \u00d7 0.02
\n= 2000 \u00d7 \\(\\frac{2}{100}\\)
\n= \u20b9 40<\/p>\n

(iv) \\(\\frac{\\mathrm{EOQ}}{\\text { Demand }}=\\frac{2000}{800}\\) = 2.5<\/p>\n

(v) \\(\\frac{\\text { Demand }}{\\mathrm{EOQ}}=\\frac{800}{2000}\\) = 0.4<\/p>\n

Item B:
\nDemand rate, R = 400
\nOrdering cost, C3<\/sub> = \u20b9 5
\nCarrying cost C1<\/sub> = 10% of 1.00<\/p>\n

(i) EOQ in units
\n\"Samacheer
\n= 20 \u00d7 10
\n= 200 units<\/p>\n

(ii) Minimum Average Cost = C0<\/sub> = \\(\\sqrt{2 \\mathrm{RC}_{3} \\mathrm{C}_{1}}\\)
\n= \\(\\sqrt{2 \\times 400 \\times 5 \\times \\frac{10}{100} \\times 1}\\)
\n= \u221a400
\n= \u20b9 20<\/p>\n

(iii) EOQ in rupees = EOQ \u00d7 unit price
\n= 200 \u00d7 1
\n= \u20b9 200<\/p>\n

(iv) \\(\\frac{\\mathrm{EOQ}}{\\text { Demand }}=\\frac{200}{400}\\) = 0.5<\/p>\n

(v) \\(\\frac{\\text { Demand }}{\\mathrm{EOQ}}=\\frac{400}{200}\\) = 2<\/p>\n

\"Samacheer<\/p>\n

Item C:
\nAnnual Demand, R = 800
\nOrdering cost, C3<\/sub> = \u20b9 5
\nCarrying cost, C1<\/sub> = 10% of unit price
\n= \\(\\frac{10}{100}\\) \u00d7 0.20
\n= \\(\\frac{2}{100}\\)<\/p>\n

(i) EOQ in units
\n\"Samacheer
\n= 100 \u00d7 26.2678
\n= 100 \u00d7 26.27
\n= 2627<\/p>\n

(ii) Minimum Average Cost = C0<\/sub> = \\(\\sqrt{2 \\mathrm{RC}_{3} \\mathrm{C}_{1}}\\)
\n= \\(\\sqrt{2 \\times 13800 \\times 5 \\times \\frac{10}{100} \\times 0.2}\\)
\n= \\(\\sqrt{2 \\times 138 \\times 5 \\times 2}\\)
\n= \\(\\sqrt{2760}\\)
\n= 52.535
\n= \u20b9 52.54<\/p>\n

(iii) EOQ in rupees = 2627 \u00d7 0.20 = \u20b9 25.40 [\u2235 Unit price = 0.20]<\/p>\n

(iv) \\(\\frac{\\mathrm{EOQ}}{\\text { Demand }}=\\frac{2627}{13800}\\) = 0.19036 = 0.19<\/p>\n

(v) \\(\\frac{\\text { Demand }}{\\mathrm{EOQ}}=\\frac{13800}{2627}\\) = 5.2531 = 5.25<\/p>\n

\"Samacheer<\/p>\n

Question 2.
\nA dealer has to supply his customer with 400 units of a product per week. The dealer gets the product from the manufacturer at a cost of \u20b9 50 per unit. The cost of ordering from the manufacturers in \u20b9 75 per order. The cost of holding inventory is 7.5 % per year of the product cost. Find
\n(i) EOQ
\n(ii) Total optimum cost.
\nSolution:
\nDemand = 400 units per week
\nAnnual demand = 400 \u00d7 52 per year
\nOrdering cost per order C3<\/sub> = 175
\nInventory cost C1<\/sub> = 7.5% per year of the cost
\n= 7.5% of 50 per year
\n= \\(\\frac{7.5}{100}\\) \u00d7 50
\n= \\(\\frac{7.5 \\times 50}{100 \\times 52}\\) (per week)
\n(i) EOQ in units
\n\"Samacheer
\nEOQ = 912 units<\/p>\n

\"Samacheer<\/p>\n

(ii) Total optimum cost = Purchasing cost + Minimum annual cost
\n\"Samacheer
\n= 20000 + \\(\\sqrt{\\frac{225000}{52}}\\)
\n= 20000 + \u221a4326.92307
\n= 20000 + \u221a4326.9231
\n= 20000 + 65.7793
\n= \u20b9 20,065.78 per week<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can download 11th Business Maths Chapter 6 Applications of Differentiation Ex 6.3 Questions and Answers, Notes, Samcheer Kalvi 11th Business Maths Guide\u00a0Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. Tamilnadu Samacheer Kalvi 11th Business Maths Solutions Chapter …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/6716"}],"collection":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/comments?post=6716"}],"version-history":[{"count":0,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/6716\/revisions"}],"wp:attachment":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/media?parent=6716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/categories?post=6716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/tags?post=6716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}