Line-of-Credit Payment Scheme and Its Impact on the Retailer’s Ordering Policy with Inventory-Level-Dependent Demand

<table class="table-group" id="tab13"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_center" colspan="2" rowspan="2">Parameters</td><td class="align_center"><span style="width: 49.6413ptpx;"><svg height="8.8423pt" id="M725" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 49.6413 8.8423" width="49.6413pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="985" vert-adv-y="985"></glyph.data></g><g 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class="align_center"><span style="width: 49.6413ptpx;"><svg height="8.8423pt" id="M727" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 49.6413 8.8423" width="49.6413pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="985" vert-adv-y="985"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,16.439,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="587" 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21 129 114 129 240C129 353 183 415 244 415C352 415 420 301 478 196ZM889 204C889 66 838 21 776 21C666 21 598 135 540 241C590 331 655 415 754 415C842 415 889 320 889 204Z" id="g113-30"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="1020" vert-adv-y="1020"></glyph.data></g></svg></span></td><td class="align_center">232.25</td><td class="align_center">235.73</td><td class="align_center">243.43</td></tr><tr><td class="align_center">250</td><td class="align_center">232.25</td><td class="align_center"><b>235.73</b></td><td class="align_center">243.43</td></tr><tr><td class="align_center">230</td><td class="align_center">231.70</td><td class="align_center">234.31</td><td class="align_center">240.00</td></tr><tr><td class="align_center">210</td><td class="align_center">226.98</td><td class="align_center">229.54</td><td class="align_center">235.13</td></tr><tr><td class="align_center">190</td><td class="align_center">222.53</td><td class="align_center">225.04</td><td class="align_center">230.54</td></tr><tr><td class="align_center">170</td><td class="align_center">219.26</td><td class="align_center">220.86</td><td class="align_center">226.27</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The impact of the change of <svg height="11.8174pt" id="M723" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 14.402 11.8174" width="14.402pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z" id="g113-82"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="722" vert-adv-y="722"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,9.321,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> on the optimal policies with different <svg height="8.68572pt" id="M724" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 12.9526 8.68572" width="12.9526pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="985" vert-adv-y="985"></glyph.data></g></svg>.

Mathematical Problems in Engineering

tab13

Table 13

Table 13: Line-of-Credit Payment Scheme and Its Impact on the Retailer’s Ordering Policy with Inventory-Level-Dependent Demand 